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Simplifying -8x + 7(-5 + 5x) = -1x + -35 -8x + (-5 * 7 + 5x * 7) = -1x + -35 -8x + (-35 + 35x) = -1x + -35 Reorder the terms: -35 + -8x + 35x = -1x + -35 Combine like terms: -8x + 35x = 27x -35 + 27x = -1x + -35 Reorder the terms: -35 + 27x = -35 + -1x Add '35' to each side of the equation. -35 + 35 + 27x = -35 + 35 + -1x Combine like terms: -35 + 35 = 0 0 + 27x = -35 + 35 + -1x 27x = -35 + 35 + -1x Combine like terms: -35 + 35 = 0 27x = 0 + -1x 27x = -1x Solving 27x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 27x + x = -1x + x Combine like terms: 27x + x = 28x 28x = -1x + x Combine like terms: -1x + x = 0 28x = 0 Divide each side by '28'. x = 0 Simplifying x = 0
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