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Simplifying 3x + 2 + 7x + -11 + 5x + 24 = 180 Reorder the terms: 2 + -11 + 24 + 3x + 7x + 5x = 180 Combine like terms: 2 + -11 = -9 -9 + 24 + 3x + 7x + 5x = 180 Combine like terms: -9 + 24 = 15 15 + 3x + 7x + 5x = 180 Combine like terms: 3x + 7x = 10x 15 + 10x + 5x = 180 Combine like terms: 10x + 5x = 15x 15 + 15x = 180 Solving 15 + 15x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 15x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = 180 + -15 15x = 180 + -15 Combine like terms: 180 + -15 = 165 15x = 165 Divide each side by '15'. x = 11 Simplifying x = 11
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