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Simplifying -7(x + -2) + -1(x + -5) = 31 Reorder the terms: -7(-2 + x) + -1(x + -5) = 31 (-2 * -7 + x * -7) + -1(x + -5) = 31 (14 + -7x) + -1(x + -5) = 31 Reorder the terms: 14 + -7x + -1(-5 + x) = 31 14 + -7x + (-5 * -1 + x * -1) = 31 14 + -7x + (5 + -1x) = 31 Reorder the terms: 14 + 5 + -7x + -1x = 31 Combine like terms: 14 + 5 = 19 19 + -7x + -1x = 31 Combine like terms: -7x + -1x = -8x 19 + -8x = 31 Solving 19 + -8x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -8x = 31 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = 31 + -19 -8x = 31 + -19 Combine like terms: 31 + -19 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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