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Simplifying x + (x + 10) + (3x + -6) + (2x + -8) = 360 Reorder the terms: x + (10 + x) + (3x + -6) + (2x + -8) = 360 Remove parenthesis around (10 + x) x + 10 + x + (3x + -6) + (2x + -8) = 360 Reorder the terms: x + 10 + x + (-6 + 3x) + (2x + -8) = 360 Remove parenthesis around (-6 + 3x) x + 10 + x + -6 + 3x + (2x + -8) = 360 Reorder the terms: x + 10 + x + -6 + 3x + (-8 + 2x) = 360 Remove parenthesis around (-8 + 2x) x + 10 + x + -6 + 3x + -8 + 2x = 360 Reorder the terms: 10 + -6 + -8 + x + x + 3x + 2x = 360 Combine like terms: 10 + -6 = 4 4 + -8 + x + x + 3x + 2x = 360 Combine like terms: 4 + -8 = -4 -4 + x + x + 3x + 2x = 360 Combine like terms: x + x = 2x -4 + 2x + 3x + 2x = 360 Combine like terms: 2x + 3x = 5x -4 + 5x + 2x = 360 Combine like terms: 5x + 2x = 7x -4 + 7x = 360 Solving -4 + 7x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 360 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 360 + 4 7x = 360 + 4 Combine like terms: 360 + 4 = 364 7x = 364 Divide each side by '7'. x = 52 Simplifying x = 52
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