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Simplifying 10 + -1(x + -2) = 9 + (x + 5) Reorder the terms: 10 + -1(-2 + x) = 9 + (x + 5) 10 + (-2 * -1 + x * -1) = 9 + (x + 5) 10 + (2 + -1x) = 9 + (x + 5) Combine like terms: 10 + 2 = 12 12 + -1x = 9 + (x + 5) Reorder the terms: 12 + -1x = 9 + (5 + x) Remove parenthesis around (5 + x) 12 + -1x = 9 + 5 + x Combine like terms: 9 + 5 = 14 12 + -1x = 14 + x Solving 12 + -1x = 14 + 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. 12 + -1x + -1x = 14 + x + -1x Combine like terms: -1x + -1x = -2x 12 + -2x = 14 + x + -1x Combine like terms: x + -1x = 0 12 + -2x = 14 + 0 12 + -2x = 14 Add '-12' to each side of the equation. 12 + -12 + -2x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 14 + -12 -2x = 14 + -12 Combine like terms: 14 + -12 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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