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Simplifying 8x + -1(2x + -8) = 7 + 5x Reorder the terms: 8x + -1(-8 + 2x) = 7 + 5x 8x + (-8 * -1 + 2x * -1) = 7 + 5x 8x + (8 + -2x) = 7 + 5x Reorder the terms: 8 + 8x + -2x = 7 + 5x Combine like terms: 8x + -2x = 6x 8 + 6x = 7 + 5x Solving 8 + 6x = 7 + 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 + 6x + -5x = 7 + 5x + -5x Combine like terms: 6x + -5x = 1x 8 + 1x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 1x = 7 + 0 8 + 1x = 7 Add '-8' to each side of the equation. 8 + -8 + 1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 7 + -8 1x = 7 + -8 Combine like terms: 7 + -8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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