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Simplifying x + 8 = (x + 7) + (x + 2) Reorder the terms: 8 + x = (x + 7) + (x + 2) Reorder the terms: 8 + x = (7 + x) + (x + 2) Remove parenthesis around (7 + x) 8 + x = 7 + x + (x + 2) Reorder the terms: 8 + x = 7 + x + (2 + x) Remove parenthesis around (2 + x) 8 + x = 7 + x + 2 + x Reorder the terms: 8 + x = 7 + 2 + x + x Combine like terms: 7 + 2 = 9 8 + x = 9 + x + x Combine like terms: x + x = 2x 8 + x = 9 + 2x Solving 8 + x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + x + -2x = 9 + 2x + -2x Combine like terms: x + -2x = -1x 8 + -1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = 9 + 0 8 + -1x = 9 Add '-8' to each side of the equation. 8 + -8 + -1x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 9 + -8 -1x = 9 + -8 Combine like terms: 9 + -8 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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