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Simplifying 7 + -8(x + 1) = 8 + x Reorder the terms: 7 + -8(1 + x) = 8 + x 7 + (1 * -8 + x * -8) = 8 + x 7 + (-8 + -8x) = 8 + x Combine like terms: 7 + -8 = -1 -1 + -8x = 8 + x Solving -1 + -8x = 8 + 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. -1 + -8x + -1x = 8 + x + -1x Combine like terms: -8x + -1x = -9x -1 + -9x = 8 + x + -1x Combine like terms: x + -1x = 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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