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Simplifying (x + -27) + (15 + -2x) = 38 Reorder the terms: (-27 + x) + (15 + -2x) = 38 Remove parenthesis around (-27 + x) -27 + x + (15 + -2x) = 38 Remove parenthesis around (15 + -2x) -27 + x + 15 + -2x = 38 Reorder the terms: -27 + 15 + x + -2x = 38 Combine like terms: -27 + 15 = -12 -12 + x + -2x = 38 Combine like terms: x + -2x = -1x -12 + -1x = 38 Solving -12 + -1x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 38 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 38 + 12 -1x = 38 + 12 Combine like terms: 38 + 12 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50
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