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Simplifying 34x + 2x + -8 = -43(1 + -1x) Reorder the terms: -8 + 34x + 2x = -43(1 + -1x) Combine like terms: 34x + 2x = 36x -8 + 36x = -43(1 + -1x) -8 + 36x = (1 * -43 + -1x * -43) -8 + 36x = (-43 + 43x) Solving -8 + 36x = -43 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. -8 + 36x + -43x = -43 + 43x + -43x Combine like terms: 36x + -43x = -7x -8 + -7x = -43 + 43x + -43x Combine like terms: 43x + -43x = 0 -8 + -7x = -43 + 0 -8 + -7x = -43 Add '8' to each side of the equation. -8 + 8 + -7x = -43 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -43 + 8 -7x = -43 + 8 Combine like terms: -43 + 8 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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