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Simplifying -12(x + 12) + 2x = -9(9 + x) + 6x Reorder the terms: -12(12 + x) + 2x = -9(9 + x) + 6x (12 * -12 + x * -12) + 2x = -9(9 + x) + 6x (-144 + -12x) + 2x = -9(9 + x) + 6x Combine like terms: -12x + 2x = -10x -144 + -10x = -9(9 + x) + 6x -144 + -10x = (9 * -9 + x * -9) + 6x -144 + -10x = (-81 + -9x) + 6x Combine like terms: -9x + 6x = -3x -144 + -10x = -81 + -3x Solving -144 + -10x = -81 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -144 + -10x + 3x = -81 + -3x + 3x Combine like terms: -10x + 3x = -7x -144 + -7x = -81 + -3x + 3x Combine like terms: -3x + 3x = 0 -144 + -7x = -81 + 0 -144 + -7x = -81 Add '144' to each side of the equation. -144 + 144 + -7x = -81 + 144 Combine like terms: -144 + 144 = 0 0 + -7x = -81 + 144 -7x = -81 + 144 Combine like terms: -81 + 144 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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