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Simplifying -31 = 5(x + -2) + 2x Reorder the terms: -31 = 5(-2 + x) + 2x -31 = (-2 * 5 + x * 5) + 2x -31 = (-10 + 5x) + 2x Combine like terms: 5x + 2x = 7x -31 = -10 + 7x Solving -31 = -10 + 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 + -7x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -31 + -7x = -10 + 0 -31 + -7x = -10 Add '31' to each side of the equation. -31 + 31 + -7x = -10 + 31 Combine like terms: -31 + 31 = 0 0 + -7x = -10 + 31 -7x = -10 + 31 Combine like terms: -10 + 31 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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