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Simplifying -1(-3 + x) + -1(x + 2) = 27 (-3 * -1 + x * -1) + -1(x + 2) = 27 (3 + -1x) + -1(x + 2) = 27 Reorder the terms: 3 + -1x + -1(2 + x) = 27 3 + -1x + (2 * -1 + x * -1) = 27 3 + -1x + (-2 + -1x) = 27 Reorder the terms: 3 + -2 + -1x + -1x = 27 Combine like terms: 3 + -2 = 1 1 + -1x + -1x = 27 Combine like terms: -1x + -1x = -2x 1 + -2x = 27 Solving 1 + -2x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 27 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 27 + -1 -2x = 27 + -1 Combine like terms: 27 + -1 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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