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Simplifying 31 + -1x = -8(1 + 5x) 31 + -1x = (1 * -8 + 5x * -8) 31 + -1x = (-8 + -40x) Solving 31 + -1x = -8 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 31 + -1x + 40x = -8 + -40x + 40x Combine like terms: -1x + 40x = 39x 31 + 39x = -8 + -40x + 40x Combine like terms: -40x + 40x = 0 31 + 39x = -8 + 0 31 + 39x = -8 Add '-31' to each side of the equation. 31 + -31 + 39x = -8 + -31 Combine like terms: 31 + -31 = 0 0 + 39x = -8 + -31 39x = -8 + -31 Combine like terms: -8 + -31 = -39 39x = -39 Divide each side by '39'. x = -1 Simplifying x = -1
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