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Simplifying -5(x + -7) = 31 + -7x Reorder the terms: -5(-7 + x) = 31 + -7x (-7 * -5 + x * -5) = 31 + -7x (35 + -5x) = 31 + -7x Solving 35 + -5x = 31 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 35 + -5x + 7x = 31 + -7x + 7x Combine like terms: -5x + 7x = 2x 35 + 2x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 2x = 31 + 0 35 + 2x = 31 Add '-35' to each side of the equation. 35 + -35 + 2x = 31 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 31 + -35 2x = 31 + -35 Combine like terms: 31 + -35 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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