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Simplifying -1(x + 8) + 2(x + 8) = 5 + -1x + x + -6 Reorder the terms: -1(8 + x) + 2(x + 8) = 5 + -1x + x + -6 (8 * -1 + x * -1) + 2(x + 8) = 5 + -1x + x + -6 (-8 + -1x) + 2(x + 8) = 5 + -1x + x + -6 Reorder the terms: -8 + -1x + 2(8 + x) = 5 + -1x + x + -6 -8 + -1x + (8 * 2 + x * 2) = 5 + -1x + x + -6 -8 + -1x + (16 + 2x) = 5 + -1x + x + -6 Reorder the terms: -8 + 16 + -1x + 2x = 5 + -1x + x + -6 Combine like terms: -8 + 16 = 8 8 + -1x + 2x = 5 + -1x + x + -6 Combine like terms: -1x + 2x = 1x 8 + 1x = 5 + -1x + x + -6 Reorder the terms: 8 + 1x = 5 + -6 + -1x + x Combine like terms: 5 + -6 = -1 8 + 1x = -1 + -1x + x Combine like terms: -1x + x = 0 8 + 1x = -1 + 0 8 + 1x = -1 Solving 8 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -1 + -8 1x = -1 + -8 Combine like terms: -1 + -8 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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