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Simplifying -7x + 31 = -5(x + -9) Reorder the terms: 31 + -7x = -5(x + -9) Reorder the terms: 31 + -7x = -5(-9 + x) 31 + -7x = (-9 * -5 + x * -5) 31 + -7x = (45 + -5x) Solving 31 + -7x = 45 + -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. 31 + -7x + 5x = 45 + -5x + 5x Combine like terms: -7x + 5x = -2x 31 + -2x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 31 + -2x = 45 + 0 31 + -2x = 45 Add '-31' to each side of the equation. 31 + -31 + -2x = 45 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 45 + -31 -2x = 45 + -31 Combine like terms: 45 + -31 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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