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