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Simplifying 6 + -1(x + 5) = 8x + -8 Reorder the terms: 6 + -1(5 + x) = 8x + -8 6 + (5 * -1 + x * -1) = 8x + -8 6 + (-5 + -1x) = 8x + -8 Combine like terms: 6 + -5 = 1 1 + -1x = 8x + -8 Reorder the terms: 1 + -1x = -8 + 8x Solving 1 + -1x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -1x + -8x = -8 + 8x + -8x Combine like terms: -1x + -8x = -9x 1 + -9x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -9x = -8 + 0 1 + -9x = -8 Add '-1' to each side of the equation. 1 + -1 + -9x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = -8 + -1 -9x = -8 + -1 Combine like terms: -8 + -1 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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