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Simplifying (x + -17) + (x + 35) + (x + 42) + x = 360 Reorder the terms: (-17 + x) + (x + 35) + (x + 42) + x = 360 Remove parenthesis around (-17 + x) -17 + x + (x + 35) + (x + 42) + x = 360 Reorder the terms: -17 + x + (35 + x) + (x + 42) + x = 360 Remove parenthesis around (35 + x) -17 + x + 35 + x + (x + 42) + x = 360 Reorder the terms: -17 + x + 35 + x + (42 + x) + x = 360 Remove parenthesis around (42 + x) -17 + x + 35 + x + 42 + x + x = 360 Reorder the terms: -17 + 35 + 42 + x + x + x + x = 360 Combine like terms: -17 + 35 = 18 18 + 42 + x + x + x + x = 360 Combine like terms: 18 + 42 = 60 60 + x + x + x + x = 360 Combine like terms: x + x = 2x 60 + 2x + x + x = 360 Combine like terms: 2x + x = 3x 60 + 3x + x = 360 Combine like terms: 3x + x = 4x 60 + 4x = 360 Solving 60 + 4x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 4x = 360 + -60 Combine like terms: 60 + -60 = 0 0 + 4x = 360 + -60 4x = 360 + -60 Combine like terms: 360 + -60 = 300 4x = 300 Divide each side by '4'. x = 75 Simplifying x = 75
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