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Simplifying 31 + -7x = 2(5 + -5x) 31 + -7x = (5 * 2 + -5x * 2) 31 + -7x = (10 + -10x) Solving 31 + -7x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 31 + -7x + 10x = 10 + -10x + 10x Combine like terms: -7x + 10x = 3x 31 + 3x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 31 + 3x = 10 + 0 31 + 3x = 10 Add '-31' to each side of the equation. 31 + -31 + 3x = 10 + -31 Combine like terms: 31 + -31 = 0 0 + 3x = 10 + -31 3x = 10 + -31 Combine like terms: 10 + -31 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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