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Simplifying 6 + -8(x + 1) = 7 + x Reorder the terms: 6 + -8(1 + x) = 7 + x 6 + (1 * -8 + x * -8) = 7 + x 6 + (-8 + -8x) = 7 + x Combine like terms: 6 + -8 = -2 -2 + -8x = 7 + x Solving -2 + -8x = 7 + x 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. -2 + -8x + -1x = 7 + x + -1x Combine like terms: -8x + -1x = -9x -2 + -9x = 7 + x + -1x Combine like terms: x + -1x = 0 -2 + -9x = 7 + 0 -2 + -9x = 7 Add '2' to each side of the equation. -2 + 2 + -9x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 7 + 2 -9x = 7 + 2 Combine like terms: 7 + 2 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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