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Simplifying 12(x + 9) = 4(x + -39) Reorder the terms: 12(9 + x) = 4(x + -39) (9 * 12 + x * 12) = 4(x + -39) (108 + 12x) = 4(x + -39) Reorder the terms: 108 + 12x = 4(-39 + x) 108 + 12x = (-39 * 4 + x * 4) 108 + 12x = (-156 + 4x) Solving 108 + 12x = -156 + 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 = -156 + 4x + -4x Combine like terms: 12x + -4x = 8x 108 + 8x = -156 + 4x + -4x Combine like terms: 4x + -4x = 0 108 + 8x = -156 + 0 108 + 8x = -156 Add '-108' to each side of the equation. 108 + -108 + 8x = -156 + -108 Combine like terms: 108 + -108 = 0 0 + 8x = -156 + -108 8x = -156 + -108 Combine like terms: -156 + -108 = -264 8x = -264 Divide each side by '8'. x = -33 Simplifying x = -33
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