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Simplifying 12 + -1(2x + -2) = 8(x + 4) Reorder the terms: 12 + -1(-2 + 2x) = 8(x + 4) 12 + (-2 * -1 + 2x * -1) = 8(x + 4) 12 + (2 + -2x) = 8(x + 4) Combine like terms: 12 + 2 = 14 14 + -2x = 8(x + 4) Reorder the terms: 14 + -2x = 8(4 + x) 14 + -2x = (4 * 8 + x * 8) 14 + -2x = (32 + 8x) Solving 14 + -2x = 32 + 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. 14 + -2x + -8x = 32 + 8x + -8x Combine like terms: -2x + -8x = -10x 14 + -10x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -10x = 32 + 0 14 + -10x = 32 Add '-14' to each side of the equation. 14 + -14 + -10x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 32 + -14 -10x = 32 + -14 Combine like terms: 32 + -14 = 18 -10x = 18 Divide each side by '-10'. x = -1.8 Simplifying x = -1.8
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