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Simplifying -2x + 31 = -5(x + -3) + -1x Reorder the terms: 31 + -2x = -5(x + -3) + -1x Reorder the terms: 31 + -2x = -5(-3 + x) + -1x 31 + -2x = (-3 * -5 + x * -5) + -1x 31 + -2x = (15 + -5x) + -1x Combine like terms: -5x + -1x = -6x 31 + -2x = 15 + -6x Solving 31 + -2x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 31 + -2x + 6x = 15 + -6x + 6x Combine like terms: -2x + 6x = 4x 31 + 4x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 31 + 4x = 15 + 0 31 + 4x = 15 Add '-31' to each side of the equation. 31 + -31 + 4x = 15 + -31 Combine like terms: 31 + -31 = 0 0 + 4x = 15 + -31 4x = 15 + -31 Combine like terms: 15 + -31 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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