Solve the equation. Check your solution. 9[4-7(x-1)]+4[(2x+5)-7]=11 x-332 The solution set is _____. Type an integer or a simplified fraction.

Distribute and Simplify: Distribute the 9 into the first set of brackets and the 4 into the second set of brackets. 9[4 - 7(x - 1)] + 4[(2x + 5) - 7] = 9[4 - 7x + 7] + 4[2x + 5 - 7] = 36 - 63x + 63 + 8x + 20 - 28Combine Like Terms: Combine like terms within the distributed results. 36 - 63x + 63 + 8x + 20 - 28 = (36 + 63 + 20 - 28) + (-63x + 8x) = 91 - 55xRewrite Equation: Rewrite the equation with the simplified left side. 91 - 55x = 11x - 332Add 55x to Both Sides: Add 55x to both sides of the equation to get all x terms on one side. 91 - 55x + 55x = 11x - 332 + 55x 91 = 66x - 332Add 332 to Both Sides: Add 332 to both sides of the equation to isolate the x term. 91 + 332 = 66x - 332 + 332 423 = 66xDivide by 66: Divide both sides by 66 to solve for x. 423 / 66 = 66x / 66 x = 6.409090909090909

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Q. Solve the equation. Check your solution.

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9[4-7(x-1)]+4[(2 x+5)-7]=11 x-332

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The solution set is

\_\_\_\_\_

. Type an integer or a simplified fraction.

Distribute and Simplify: Distribute the $9$ into the first set of brackets and the $4$ into the second set of brackets. $\newline$ $9[4 - 7(x - 1)] + 4[(2x + 5) - 7]$ $\newline$ $= 9[4 - 7x + 7] + 4[2x + 5 - 7]$ $\newline$ $= 36 - 63x + 63 + 8x + 20 - 28$
Combine Like Terms: Combine like terms within the distributed results. $\newline$ $36 - 63x + 63 + 8x + 20 - 28$ $\newline$ = $(36 + 63 + 20 - 28) + (-63x + 8x)$ $\newline$ = $91 - 55x$
Rewrite Equation: Rewrite the equation with the simplified left side. $\newline$ $91 - 55x = 11x - 332$
Add $55x$ to Both Sides: Add $55x$ to both sides of the equation to get all $x$ terms on one side. $\newline$ $91 - 55x + 55x = 11x - 332 + 55x$ $\newline$ $91 = 66x - 332$
Add $332$ to Both Sides: Add $332$ to both sides of the equation to isolate the $x$ term. $\newline$ $91 + 332 = 66x - 332 + 332$ $\newline$ $423 = 66x$
Divide by $66$ : Divide both sides by $66$ to solve for $x$ . $\frac{423}{66} = \frac{66x}{66}$ $x = 6.409090909090909$