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Simplifying -31 = 2x + -3(-2x + -3) Reorder the terms: -31 = 2x + -3(-3 + -2x) -31 = 2x + (-3 * -3 + -2x * -3) -31 = 2x + (9 + 6x) Reorder the terms: -31 = 9 + 2x + 6x Combine like terms: 2x + 6x = 8x -31 = 9 + 8x Solving -31 = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -31 + -8x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -31 + -8x = 9 + 0 -31 + -8x = 9 Add '31' to each side of the equation. -31 + 31 + -8x = 9 + 31 Combine like terms: -31 + 31 = 0 0 + -8x = 9 + 31 -8x = 9 + 31 Combine like terms: 9 + 31 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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