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Simplifying (x + 5) + (3x + -1) + (4x + -2) = 180 Reorder the terms: (5 + x) + (3x + -1) + (4x + -2) = 180 Remove parenthesis around (5 + x) 5 + x + (3x + -1) + (4x + -2) = 180 Reorder the terms: 5 + x + (-1 + 3x) + (4x + -2) = 180 Remove parenthesis around (-1 + 3x) 5 + x + -1 + 3x + (4x + -2) = 180 Reorder the terms: 5 + x + -1 + 3x + (-2 + 4x) = 180 Remove parenthesis around (-2 + 4x) 5 + x + -1 + 3x + -2 + 4x = 180 Reorder the terms: 5 + -1 + -2 + x + 3x + 4x = 180 Combine like terms: 5 + -1 = 4 4 + -2 + x + 3x + 4x = 180 Combine like terms: 4 + -2 = 2 2 + x + 3x + 4x = 180 Combine like terms: x + 3x = 4x 2 + 4x + 4x = 180 Combine like terms: 4x + 4x = 8x 2 + 8x = 180 Solving 2 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 180 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 180 + -2 8x = 180 + -2 Combine like terms: 180 + -2 = 178 8x = 178 Divide each side by '8'. x = 22.25 Simplifying x = 22.25
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