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Simplifying 2(x + 4) = 8 + -1(12 + -5x) Reorder the terms: 2(4 + x) = 8 + -1(12 + -5x) (4 * 2 + x * 2) = 8 + -1(12 + -5x) (8 + 2x) = 8 + -1(12 + -5x) 8 + 2x = 8 + (12 * -1 + -5x * -1) 8 + 2x = 8 + (-12 + 5x) Combine like terms: 8 + -12 = -4 8 + 2x = -4 + 5x Solving 8 + 2x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 2x + -5x = -4 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = -4 + 0 8 + -3x = -4 Add '-8' to each side of the equation. 8 + -8 + -3x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -4 + -8 -3x = -4 + -8 Combine like terms: -4 + -8 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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