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Simplifying 12 + 3(2x + -1) = 1 + -2(x + 4) Reorder the terms: 12 + 3(-1 + 2x) = 1 + -2(x + 4) 12 + (-1 * 3 + 2x * 3) = 1 + -2(x + 4) 12 + (-3 + 6x) = 1 + -2(x + 4) Combine like terms: 12 + -3 = 9 9 + 6x = 1 + -2(x + 4) Reorder the terms: 9 + 6x = 1 + -2(4 + x) 9 + 6x = 1 + (4 * -2 + x * -2) 9 + 6x = 1 + (-8 + -2x) Combine like terms: 1 + -8 = -7 9 + 6x = -7 + -2x Solving 9 + 6x = -7 + -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. 9 + 6x + 2x = -7 + -2x + 2x Combine like terms: 6x + 2x = 8x 9 + 8x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 8x = -7 + 0 9 + 8x = -7 Add '-9' to each side of the equation. 9 + -9 + 8x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -7 + -9 8x = -7 + -9 Combine like terms: -7 + -9 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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