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Simplifying -9(-2x + 12) = -9(-12 + 4x) Reorder the terms: -9(12 + -2x) = -9(-12 + 4x) (12 * -9 + -2x * -9) = -9(-12 + 4x) (-108 + 18x) = -9(-12 + 4x) -108 + 18x = (-12 * -9 + 4x * -9) -108 + 18x = (108 + -36x) Solving -108 + 18x = 108 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -108 + 18x + 36x = 108 + -36x + 36x Combine like terms: 18x + 36x = 54x -108 + 54x = 108 + -36x + 36x Combine like terms: -36x + 36x = 0 -108 + 54x = 108 + 0 -108 + 54x = 108 Add '108' to each side of the equation. -108 + 108 + 54x = 108 + 108 Combine like terms: -108 + 108 = 0 0 + 54x = 108 + 108 54x = 108 + 108 Combine like terms: 108 + 108 = 216 54x = 216 Divide each side by '54'. x = 4 Simplifying x = 4
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