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Simplifying 180 = (2x + 3) + (4x + 2) + (2x + -1) Reorder the terms: 180 = (3 + 2x) + (4x + 2) + (2x + -1) Remove parenthesis around (3 + 2x) 180 = 3 + 2x + (4x + 2) + (2x + -1) Reorder the terms: 180 = 3 + 2x + (2 + 4x) + (2x + -1) Remove parenthesis around (2 + 4x) 180 = 3 + 2x + 2 + 4x + (2x + -1) Reorder the terms: 180 = 3 + 2x + 2 + 4x + (-1 + 2x) Remove parenthesis around (-1 + 2x) 180 = 3 + 2x + 2 + 4x + -1 + 2x Reorder the terms: 180 = 3 + 2 + -1 + 2x + 4x + 2x Combine like terms: 3 + 2 = 5 180 = 5 + -1 + 2x + 4x + 2x Combine like terms: 5 + -1 = 4 180 = 4 + 2x + 4x + 2x Combine like terms: 2x + 4x = 6x 180 = 4 + 6x + 2x Combine like terms: 6x + 2x = 8x 180 = 4 + 8x Solving 180 = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 180 + -8x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 180 + -8x = 4 + 0 180 + -8x = 4 Add '-180' to each side of the equation. 180 + -180 + -8x = 4 + -180 Combine like terms: 180 + -180 = 0 0 + -8x = 4 + -180 -8x = 4 + -180 Combine like terms: 4 + -180 = -176 -8x = -176 Divide each side by '-8'. x = 22 Simplifying x = 22
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