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Simplifying 3x + -5(-2x + -12) = -31 Reorder the terms: 3x + -5(-12 + -2x) = -31 3x + (-12 * -5 + -2x * -5) = -31 3x + (60 + 10x) = -31 Reorder the terms: 60 + 3x + 10x = -31 Combine like terms: 3x + 10x = 13x 60 + 13x = -31 Solving 60 + 13x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 13x = -31 + -60 Combine like terms: 60 + -60 = 0 0 + 13x = -31 + -60 13x = -31 + -60 Combine like terms: -31 + -60 = -91 13x = -91 Divide each side by '13'. x = -7 Simplifying x = -7
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