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Simplifying 7(2 + 5x) = -29 + -8x (2 * 7 + 5x * 7) = -29 + -8x (14 + 35x) = -29 + -8x Solving 14 + 35x = -29 + -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. 14 + 35x + 8x = -29 + -8x + 8x Combine like terms: 35x + 8x = 43x 14 + 43x = -29 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 43x = -29 + 0 14 + 43x = -29 Add '-14' to each side of the equation. 14 + -14 + 43x = -29 + -14 Combine like terms: 14 + -14 = 0 0 + 43x = -29 + -14 43x = -29 + -14 Combine like terms: -29 + -14 = -43 43x = -43 Divide each side by '43'. x = -1 Simplifying x = -1
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