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Simplifying 5(1 + 7x) = -1x + -31 (1 * 5 + 7x * 5) = -1x + -31 (5 + 35x) = -1x + -31 Reorder the terms: 5 + 35x = -31 + -1x Solving 5 + 35x = -31 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 35x + x = -31 + -1x + x Combine like terms: 35x + x = 36x 5 + 36x = -31 + -1x + x Combine like terms: -1x + x = 0 5 + 36x = -31 + 0 5 + 36x = -31 Add '-5' to each side of the equation. 5 + -5 + 36x = -31 + -5 Combine like terms: 5 + -5 = 0 0 + 36x = -31 + -5 36x = -31 + -5 Combine like terms: -31 + -5 = -36 36x = -36 Divide each side by '36'. x = -1 Simplifying x = -1
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