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Simplifying -36(7 + -3x) = -6(2 + 2x) (7 * -36 + -3x * -36) = -6(2 + 2x) (-252 + 108x) = -6(2 + 2x) -252 + 108x = (2 * -6 + 2x * -6) -252 + 108x = (-12 + -12x) Solving -252 + 108x = -12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -252 + 108x + 12x = -12 + -12x + 12x Combine like terms: 108x + 12x = 120x -252 + 120x = -12 + -12x + 12x Combine like terms: -12x + 12x = 0 -252 + 120x = -12 + 0 -252 + 120x = -12 Add '252' to each side of the equation. -252 + 252 + 120x = -12 + 252 Combine like terms: -252 + 252 = 0 0 + 120x = -12 + 252 120x = -12 + 252 Combine like terms: -12 + 252 = 240 120x = 240 Divide each side by '120'. x = 2 Simplifying x = 2
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