Distribute 2: Distribute the 2 into the parentheses.We need to apply the distributive property to the expression 2(−2x+1). This means we multiply 2 by each term inside the parentheses.2×(−2x)+2×1=−4x+2
Simplify left side: Simplify the left side of the equation.Now we combine like terms on the left side of the equation. We have −4x from the distribution and −2x outside the parentheses, and we also have the constants 2 and 1.−4x−2x+2+1Combine like terms:−6x+3
Rewrite equation: Rewrite the equation with the simplified left side.Now that we have simplified the left side, we can rewrite the equation as:−6x+3=−27
Isolate variable term: Isolate the variable term by subtracting 3 from both sides.To solve for x, we need to get x by itself on one side of the equation. We do this by subtracting 3 from both sides.−6x+3−3=−27−3This simplifies to:−6x=−30
Divide sides: Divide both sides by −6 to solve for x. To isolate x, we divide both sides of the equation by −6. −6x/−6=−30/−6 This simplifies to: x=5
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