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Simplifying (3x + -17) + (2x + 5) + (x + 40) = 180 Reorder the terms: (-17 + 3x) + (2x + 5) + (x + 40) = 180 Remove parenthesis around (-17 + 3x) -17 + 3x + (2x + 5) + (x + 40) = 180 Reorder the terms: -17 + 3x + (5 + 2x) + (x + 40) = 180 Remove parenthesis around (5 + 2x) -17 + 3x + 5 + 2x + (x + 40) = 180 Reorder the terms: -17 + 3x + 5 + 2x + (40 + x) = 180 Remove parenthesis around (40 + x) -17 + 3x + 5 + 2x + 40 + x = 180 Reorder the terms: -17 + 5 + 40 + 3x + 2x + x = 180 Combine like terms: -17 + 5 = -12 -12 + 40 + 3x + 2x + x = 180 Combine like terms: -12 + 40 = 28 28 + 3x + 2x + x = 180 Combine like terms: 3x + 2x = 5x 28 + 5x + x = 180 Combine like terms: 5x + x = 6x 28 + 6x = 180 Solving 28 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 6x = 180 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = 180 + -28 6x = 180 + -28 Combine like terms: 180 + -28 = 152 6x = 152 Divide each side by '6'. x = 25.33333333 Simplifying x = 25.33333333
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