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Simplifying -8 + 5(x + -1) = -1x + -31 Reorder the terms: -8 + 5(-1 + x) = -1x + -31 -8 + (-1 * 5 + x * 5) = -1x + -31 -8 + (-5 + 5x) = -1x + -31 Combine like terms: -8 + -5 = -13 -13 + 5x = -1x + -31 Reorder the terms: -13 + 5x = -31 + -1x Solving -13 + 5x = -31 + -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. -13 + 5x + x = -31 + -1x + x Combine like terms: 5x + x = 6x -13 + 6x = -31 + -1x + x Combine like terms: -1x + x = 0 -13 + 6x = -31 + 0 -13 + 6x = -31 Add '13' to each side of the equation. -13 + 13 + 6x = -31 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = -31 + 13 6x = -31 + 13 Combine like terms: -31 + 13 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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