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Simplifying (x + 5) + -1(2x + 2) = 12 Reorder the terms: (5 + x) + -1(2x + 2) = 12 Remove parenthesis around (5 + x) 5 + x + -1(2x + 2) = 12 Reorder the terms: 5 + x + -1(2 + 2x) = 12 5 + x + (2 * -1 + 2x * -1) = 12 5 + x + (-2 + -2x) = 12 Reorder the terms: 5 + -2 + x + -2x = 12 Combine like terms: 5 + -2 = 3 3 + x + -2x = 12 Combine like terms: x + -2x = -1x 3 + -1x = 12 Solving 3 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 12 + -3 -1x = 12 + -3 Combine like terms: 12 + -3 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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