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Simplifying -6x + -1(x + -2) = -31 + -5(3 + -1x) Reorder the terms: -6x + -1(-2 + x) = -31 + -5(3 + -1x) -6x + (-2 * -1 + x * -1) = -31 + -5(3 + -1x) -6x + (2 + -1x) = -31 + -5(3 + -1x) Reorder the terms: 2 + -6x + -1x = -31 + -5(3 + -1x) Combine like terms: -6x + -1x = -7x 2 + -7x = -31 + -5(3 + -1x) 2 + -7x = -31 + (3 * -5 + -1x * -5) 2 + -7x = -31 + (-15 + 5x) Combine like terms: -31 + -15 = -46 2 + -7x = -46 + 5x Solving 2 + -7x = -46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -7x + -5x = -46 + 5x + -5x Combine like terms: -7x + -5x = -12x 2 + -12x = -46 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -12x = -46 + 0 2 + -12x = -46 Add '-2' to each side of the equation. 2 + -2 + -12x = -46 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = -46 + -2 -12x = -46 + -2 Combine like terms: -46 + -2 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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