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Simplifying 7(2x + 5) + -8 = -3(8x + -9) + -5x Reorder the terms: 7(5 + 2x) + -8 = -3(8x + -9) + -5x (5 * 7 + 2x * 7) + -8 = -3(8x + -9) + -5x (35 + 14x) + -8 = -3(8x + -9) + -5x Reorder the terms: 35 + -8 + 14x = -3(8x + -9) + -5x Combine like terms: 35 + -8 = 27 27 + 14x = -3(8x + -9) + -5x Reorder the terms: 27 + 14x = -3(-9 + 8x) + -5x 27 + 14x = (-9 * -3 + 8x * -3) + -5x 27 + 14x = (27 + -24x) + -5x Combine like terms: -24x + -5x = -29x 27 + 14x = 27 + -29x Add '-27' to each side of the equation. 27 + -27 + 14x = 27 + -27 + -29x Combine like terms: 27 + -27 = 0 0 + 14x = 27 + -27 + -29x 14x = 27 + -27 + -29x Combine like terms: 27 + -27 = 0 14x = 0 + -29x 14x = -29x Solving 14x = -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 14x + 29x = -29x + 29x Combine like terms: 14x + 29x = 43x 43x = -29x + 29x Combine like terms: -29x + 29x = 0 43x = 0 Divide each side by '43'. x = 0 Simplifying x = 0
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