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