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Simplifying (x + -5) + (3x + -1) + (2x + -6) + 2x = 180 Reorder the terms: (-5 + x) + (3x + -1) + (2x + -6) + 2x = 180 Remove parenthesis around (-5 + x) -5 + x + (3x + -1) + (2x + -6) + 2x = 180 Reorder the terms: -5 + x + (-1 + 3x) + (2x + -6) + 2x = 180 Remove parenthesis around (-1 + 3x) -5 + x + -1 + 3x + (2x + -6) + 2x = 180 Reorder the terms: -5 + x + -1 + 3x + (-6 + 2x) + 2x = 180 Remove parenthesis around (-6 + 2x) -5 + x + -1 + 3x + -6 + 2x + 2x = 180 Reorder the terms: -5 + -1 + -6 + x + 3x + 2x + 2x = 180 Combine like terms: -5 + -1 = -6 -6 + -6 + x + 3x + 2x + 2x = 180 Combine like terms: -6 + -6 = -12 -12 + x + 3x + 2x + 2x = 180 Combine like terms: x + 3x = 4x -12 + 4x + 2x + 2x = 180 Combine like terms: 4x + 2x = 6x -12 + 6x + 2x = 180 Combine like terms: 6x + 2x = 8x -12 + 8x = 180 Solving -12 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8x = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 180 + 12 8x = 180 + 12 Combine like terms: 180 + 12 = 192 8x = 192 Divide each side by '8'. x = 24 Simplifying x = 24
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