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Simplifying (2x + -67) + (x + -17) + 3x = 360 Reorder the terms: (-67 + 2x) + (x + -17) + 3x = 360 Remove parenthesis around (-67 + 2x) -67 + 2x + (x + -17) + 3x = 360 Reorder the terms: -67 + 2x + (-17 + x) + 3x = 360 Remove parenthesis around (-17 + x) -67 + 2x + -17 + x + 3x = 360 Reorder the terms: -67 + -17 + 2x + x + 3x = 360 Combine like terms: -67 + -17 = -84 -84 + 2x + x + 3x = 360 Combine like terms: 2x + x = 3x -84 + 3x + 3x = 360 Combine like terms: 3x + 3x = 6x -84 + 6x = 360 Solving -84 + 6x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 6x = 360 + 84 Combine like terms: -84 + 84 = 0 0 + 6x = 360 + 84 6x = 360 + 84 Combine like terms: 360 + 84 = 444 6x = 444 Divide each side by '6'. x = 74 Simplifying x = 74
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