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Simplifying -1(x + -7) = 31 + -9x Reorder the terms: -1(-7 + x) = 31 + -9x (-7 * -1 + x * -1) = 31 + -9x (7 + -1x) = 31 + -9x Solving 7 + -1x = 31 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + -1x + 9x = 31 + -9x + 9x Combine like terms: -1x + 9x = 8x 7 + 8x = 31 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 8x = 31 + 0 7 + 8x = 31 Add '-7' to each side of the equation. 7 + -7 + 8x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 31 + -7 8x = 31 + -7 Combine like terms: 31 + -7 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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