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Simplifying 8x + -1(6x + -8) = 1 + 1x Reorder the terms: 8x + -1(-8 + 6x) = 1 + 1x 8x + (-8 * -1 + 6x * -1) = 1 + 1x 8x + (8 + -6x) = 1 + 1x Reorder the terms: 8 + 8x + -6x = 1 + 1x Combine like terms: 8x + -6x = 2x 8 + 2x = 1 + 1x Solving 8 + 2x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 2x + -1x = 1 + 1x + -1x Combine like terms: 2x + -1x = 1x 8 + 1x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + 1x = 1 + 0 8 + 1x = 1 Add '-8' to each side of the equation. 8 + -8 + 1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 1 + -8 1x = 1 + -8 Combine like terms: 1 + -8 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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