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Simplifying (x + 1) + 8(x + -1) = x + -8 Reorder the terms: (1 + x) + 8(x + -1) = x + -8 Remove parenthesis around (1 + x) 1 + x + 8(x + -1) = x + -8 Reorder the terms: 1 + x + 8(-1 + x) = x + -8 1 + x + (-1 * 8 + x * 8) = x + -8 1 + x + (-8 + 8x) = x + -8 Reorder the terms: 1 + -8 + x + 8x = x + -8 Combine like terms: 1 + -8 = -7 -7 + x + 8x = x + -8 Combine like terms: x + 8x = 9x -7 + 9x = x + -8 Reorder the terms: -7 + 9x = -8 + x Solving -7 + 9x = -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. -7 + 9x + -1x = -8 + x + -1x Combine like terms: 9x + -1x = 8x -7 + 8x = -8 + x + -1x Combine like terms: x + -1x = 0 -7 + 8x = -8 + 0 -7 + 8x = -8 Add '7' to each side of the equation. -7 + 7 + 8x = -8 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -8 + 7 8x = -8 + 7 Combine like terms: -8 + 7 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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