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Simplifying x + -31 = 2(5x + -2) Reorder the terms: -31 + x = 2(5x + -2) Reorder the terms: -31 + x = 2(-2 + 5x) -31 + x = (-2 * 2 + 5x * 2) -31 + x = (-4 + 10x) Solving -31 + x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -31 + x + -10x = -4 + 10x + -10x Combine like terms: x + -10x = -9x -31 + -9x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -31 + -9x = -4 + 0 -31 + -9x = -4 Add '31' to each side of the equation. -31 + 31 + -9x = -4 + 31 Combine like terms: -31 + 31 = 0 0 + -9x = -4 + 31 -9x = -4 + 31 Combine like terms: -4 + 31 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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