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