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Simplifying 12 + -1(5 + -2x) + 8x = 6 + -2(x + 1) 12 + (5 * -1 + -2x * -1) + 8x = 6 + -2(x + 1) 12 + (-5 + 2x) + 8x = 6 + -2(x + 1) Combine like terms: 12 + -5 = 7 7 + 2x + 8x = 6 + -2(x + 1) Combine like terms: 2x + 8x = 10x 7 + 10x = 6 + -2(x + 1) Reorder the terms: 7 + 10x = 6 + -2(1 + x) 7 + 10x = 6 + (1 * -2 + x * -2) 7 + 10x = 6 + (-2 + -2x) Combine like terms: 6 + -2 = 4 7 + 10x = 4 + -2x Solving 7 + 10x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 10x + 2x = 4 + -2x + 2x Combine like terms: 10x + 2x = 12x 7 + 12x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 12x = 4 + 0 7 + 12x = 4 Add '-7' to each side of the equation. 7 + -7 + 12x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 4 + -7 12x = 4 + -7 Combine like terms: 4 + -7 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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