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Simplifying 31 + -5x = 3(6 + -6x) 31 + -5x = (6 * 3 + -6x * 3) 31 + -5x = (18 + -18x) Solving 31 + -5x = 18 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 31 + -5x + 18x = 18 + -18x + 18x Combine like terms: -5x + 18x = 13x 31 + 13x = 18 + -18x + 18x Combine like terms: -18x + 18x = 0 31 + 13x = 18 + 0 31 + 13x = 18 Add '-31' to each side of the equation. 31 + -31 + 13x = 18 + -31 Combine like terms: 31 + -31 = 0 0 + 13x = 18 + -31 13x = 18 + -31 Combine like terms: 18 + -31 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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