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Simplifying (x + -1(12 + 33 + 5 + 24)) + x = 152 Combine like terms: 12 + 33 = 45 (x + -1(45 + 5 + 24)) + x = 152 Combine like terms: 45 + 5 = 50 (x + -1(50 + 24)) + x = 152 Combine like terms: 50 + 24 = 74 (x + -1(74)) + x = 152 Multiply -1 * 74 (x + -74) + x = 152 Reorder the terms: (-74 + x) + x = 152 Remove parenthesis around (-74 + x) -74 + x + x = 152 Combine like terms: x + x = 2x -74 + 2x = 152 Solving -74 + 2x = 152 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 2x = 152 + 74 Combine like terms: -74 + 74 = 0 0 + 2x = 152 + 74 2x = 152 + 74 Combine like terms: 152 + 74 = 226 2x = 226 Divide each side by '2'. x = 113 Simplifying x = 113
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