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Simplifying 7(-2x + 5) = 8x + -31 Reorder the terms: 7(5 + -2x) = 8x + -31 (5 * 7 + -2x * 7) = 8x + -31 (35 + -14x) = 8x + -31 Reorder the terms: 35 + -14x = -31 + 8x Solving 35 + -14x = -31 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + -14x + -8x = -31 + 8x + -8x Combine like terms: -14x + -8x = -22x 35 + -22x = -31 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -22x = -31 + 0 35 + -22x = -31 Add '-35' to each side of the equation. 35 + -35 + -22x = -31 + -35 Combine like terms: 35 + -35 = 0 0 + -22x = -31 + -35 -22x = -31 + -35 Combine like terms: -31 + -35 = -66 -22x = -66 Divide each side by '-22'. x = 3 Simplifying x = 3
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