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Simplifying -12 = 8 + -1(x + 1) + -11 Reorder the terms: -12 = 8 + -1(1 + x) + -11 -12 = 8 + (1 * -1 + x * -1) + -11 -12 = 8 + (-1 + -1x) + -11 Reorder the terms: -12 = 8 + -1 + -11 + -1x Combine like terms: 8 + -1 = 7 -12 = 7 + -11 + -1x Combine like terms: 7 + -11 = -4 -12 = -4 + -1x Solving -12 = -4 + -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. -12 + x = -4 + -1x + x Combine like terms: -1x + x = 0 -12 + x = -4 + 0 -12 + x = -4 Add '12' to each side of the equation. -12 + 12 + x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + x = -4 + 12 x = -4 + 12 Combine like terms: -4 + 12 = 8 x = 8 Simplifying x = 8
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