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Simplifying (3x + -14) + (4x + 12) = 180 Reorder the terms: (-14 + 3x) + (4x + 12) = 180 Remove parenthesis around (-14 + 3x) -14 + 3x + (4x + 12) = 180 Reorder the terms: -14 + 3x + (12 + 4x) = 180 Remove parenthesis around (12 + 4x) -14 + 3x + 12 + 4x = 180 Reorder the terms: -14 + 12 + 3x + 4x = 180 Combine like terms: -14 + 12 = -2 -2 + 3x + 4x = 180 Combine like terms: 3x + 4x = 7x -2 + 7x = 180 Solving -2 + 7x = 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 + 7x = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 180 + 2 7x = 180 + 2 Combine like terms: 180 + 2 = 182 7x = 182 Divide each side by '7'. x = 26 Simplifying x = 26
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