Q. Solve the following equation for x. Express your answer in the simplest form.−3x+5(9x+1)=−2−6(−4x−9)
Combine Like Terms: Now, combine like terms on both sides of the equation.On the left side, combine −3x and 45x.−3x+45x=42xOn the right side, there's only 24x.So, the equation now is:42x+5=54+24x
Get x Terms Together: Next, get all the x terms on one side and the constants on the other side.Subtract 24x from both sides.42x−24x+5=54+24x−24xThis simplifies to:18x+5=54
Subtract Constants: Now, subtract 5 from both sides to isolate the x term.18x+5−5=54−5This gives us:18x=49
Divide by 18: Finally, divide both sides by 18 to solve for x.1818x=1849x=1849
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