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Simplifying (2x + 8) + (3x + 16) + (4x + -18) + (3x + -7) + (2x + 25) = 180 Reorder the terms: (8 + 2x) + (3x + 16) + (4x + -18) + (3x + -7) + (2x + 25) = 180 Remove parenthesis around (8 + 2x) 8 + 2x + (3x + 16) + (4x + -18) + (3x + -7) + (2x + 25) = 180 Reorder the terms: 8 + 2x + (16 + 3x) + (4x + -18) + (3x + -7) + (2x + 25) = 180 Remove parenthesis around (16 + 3x) 8 + 2x + 16 + 3x + (4x + -18) + (3x + -7) + (2x + 25) = 180 Reorder the terms: 8 + 2x + 16 + 3x + (-18 + 4x) + (3x + -7) + (2x + 25) = 180 Remove parenthesis around (-18 + 4x) 8 + 2x + 16 + 3x + -18 + 4x + (3x + -7) + (2x + 25) = 180 Reorder the terms: 8 + 2x + 16 + 3x + -18 + 4x + (-7 + 3x) + (2x + 25) = 180 Remove parenthesis around (-7 + 3x) 8 + 2x + 16 + 3x + -18 + 4x + -7 + 3x + (2x + 25) = 180 Reorder the terms: 8 + 2x + 16 + 3x + -18 + 4x + -7 + 3x + (25 + 2x) = 180 Remove parenthesis around (25 + 2x) 8 + 2x + 16 + 3x + -18 + 4x + -7 + 3x + 25 + 2x = 180 Reorder the terms: 8 + 16 + -18 + -7 + 25 + 2x + 3x + 4x + 3x + 2x = 180 Combine like terms: 8 + 16 = 24 24 + -18 + -7 + 25 + 2x + 3x + 4x + 3x + 2x = 180 Combine like terms: 24 + -18 = 6 6 + -7 + 25 + 2x + 3x + 4x + 3x + 2x = 180 Combine like terms: 6 + -7 = -1 -1 + 25 + 2x + 3x + 4x + 3x + 2x = 180 Combine like terms: -1 + 25 = 24 24 + 2x + 3x + 4x + 3x + 2x = 180 Combine like terms: 2x + 3x = 5x 24 + 5x + 4x + 3x + 2x = 180 Combine like terms: 5x + 4x = 9x 24 + 9x + 3x + 2x = 180 Combine like terms: 9x + 3x = 12x 24 + 12x + 2x = 180 Combine like terms: 12x + 2x = 14x 24 + 14x = 180 Solving 24 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 14x = 180 + -24 Combine like terms: 24 + -24 = 0 0 + 14x = 180 + -24 14x = 180 + -24 Combine like terms: 180 + -24 = 156 14x = 156 Divide each side by '14'. x = 11.14285714 Simplifying x = 11.14285714
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