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Simplifying 31 + -2x = 5(1 + -3x) 31 + -2x = (1 * 5 + -3x * 5) 31 + -2x = (5 + -15x) Solving 31 + -2x = 5 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 31 + -2x + 15x = 5 + -15x + 15x Combine like terms: -2x + 15x = 13x 31 + 13x = 5 + -15x + 15x Combine like terms: -15x + 15x = 0 31 + 13x = 5 + 0 31 + 13x = 5 Add '-31' to each side of the equation. 31 + -31 + 13x = 5 + -31 Combine like terms: 31 + -31 = 0 0 + 13x = 5 + -31 13x = 5 + -31 Combine like terms: 5 + -31 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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