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Simplifying 12(x + -9) = 4(x + -9) Reorder the terms: 12(-9 + x) = 4(x + -9) (-9 * 12 + x * 12) = 4(x + -9) (-108 + 12x) = 4(x + -9) Reorder the terms: -108 + 12x = 4(-9 + x) -108 + 12x = (-9 * 4 + x * 4) -108 + 12x = (-36 + 4x) Solving -108 + 12x = -36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -108 + 12x + -4x = -36 + 4x + -4x Combine like terms: 12x + -4x = 8x -108 + 8x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -108 + 8x = -36 + 0 -108 + 8x = -36 Add '108' to each side of the equation. -108 + 108 + 8x = -36 + 108 Combine like terms: -108 + 108 = 0 0 + 8x = -36 + 108 8x = -36 + 108 Combine like terms: -36 + 108 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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