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Simplifying -6x + -3(x + -1) = 12 + -1(x + 1) Reorder the terms: -6x + -3(-1 + x) = 12 + -1(x + 1) -6x + (-1 * -3 + x * -3) = 12 + -1(x + 1) -6x + (3 + -3x) = 12 + -1(x + 1) Reorder the terms: 3 + -6x + -3x = 12 + -1(x + 1) Combine like terms: -6x + -3x = -9x 3 + -9x = 12 + -1(x + 1) Reorder the terms: 3 + -9x = 12 + -1(1 + x) 3 + -9x = 12 + (1 * -1 + x * -1) 3 + -9x = 12 + (-1 + -1x) Combine like terms: 12 + -1 = 11 3 + -9x = 11 + -1x Solving 3 + -9x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -9x + x = 11 + -1x + x Combine like terms: -9x + x = -8x 3 + -8x = 11 + -1x + x Combine like terms: -1x + x = 0 3 + -8x = 11 + 0 3 + -8x = 11 Add '-3' to each side of the equation. 3 + -3 + -8x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 11 + -3 -8x = 11 + -3 Combine like terms: 11 + -3 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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