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Simplifying -34 = 8x + -5(1 + -7x) -34 = 8x + (1 * -5 + -7x * -5) -34 = 8x + (-5 + 35x) Reorder the terms: -34 = -5 + 8x + 35x Combine like terms: 8x + 35x = 43x -34 = -5 + 43x Solving -34 = -5 + 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. -34 + -43x = -5 + 43x + -43x Combine like terms: 43x + -43x = 0 -34 + -43x = -5 + 0 -34 + -43x = -5 Add '34' to each side of the equation. -34 + 34 + -43x = -5 + 34 Combine like terms: -34 + 34 = 0 0 + -43x = -5 + 34 -43x = -5 + 34 Combine like terms: -5 + 34 = 29 -43x = 29 Divide each side by '-43'. x = -0.6744186047 Simplifying x = -0.6744186047
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