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Simplifying -8(1 + 6x) = 35 + -5x (1 * -8 + 6x * -8) = 35 + -5x (-8 + -48x) = 35 + -5x Solving -8 + -48x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + -48x + 5x = 35 + -5x + 5x Combine like terms: -48x + 5x = -43x -8 + -43x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + -43x = 35 + 0 -8 + -43x = 35 Add '8' to each side of the equation. -8 + 8 + -43x = 35 + 8 Combine like terms: -8 + 8 = 0 0 + -43x = 35 + 8 -43x = 35 + 8 Combine like terms: 35 + 8 = 43 -43x = 43 Divide each side by '-43'. x = -1 Simplifying x = -1
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