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Simplifying 5(x + 12) = 8(x + -12) Reorder the terms: 5(12 + x) = 8(x + -12) (12 * 5 + x * 5) = 8(x + -12) (60 + 5x) = 8(x + -12) Reorder the terms: 60 + 5x = 8(-12 + x) 60 + 5x = (-12 * 8 + x * 8) 60 + 5x = (-96 + 8x) Solving 60 + 5x = -96 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 60 + 5x + -8x = -96 + 8x + -8x Combine like terms: 5x + -8x = -3x 60 + -3x = -96 + 8x + -8x Combine like terms: 8x + -8x = 0 60 + -3x = -96 + 0 60 + -3x = -96 Add '-60' to each side of the equation. 60 + -60 + -3x = -96 + -60 Combine like terms: 60 + -60 = 0 0 + -3x = -96 + -60 -3x = -96 + -60 Combine like terms: -96 + -60 = -156 -3x = -156 Divide each side by '-3'. x = 52 Simplifying x = 52
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