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Simplifying -1(x + -5) = 5x + -31 Reorder the terms: -1(-5 + x) = 5x + -31 (-5 * -1 + x * -1) = 5x + -31 (5 + -1x) = 5x + -31 Reorder the terms: 5 + -1x = -31 + 5x Solving 5 + -1x = -31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + -1x + -5x = -31 + 5x + -5x Combine like terms: -1x + -5x = -6x 5 + -6x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -6x = -31 + 0 5 + -6x = -31 Add '-5' to each side of the equation. 5 + -5 + -6x = -31 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -31 + -5 -6x = -31 + -5 Combine like terms: -31 + -5 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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