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Simplifying x + (x + 6) + (3x + 14) = 180 Reorder the terms: x + (6 + x) + (3x + 14) = 180 Remove parenthesis around (6 + x) x + 6 + x + (3x + 14) = 180 Reorder the terms: x + 6 + x + (14 + 3x) = 180 Remove parenthesis around (14 + 3x) x + 6 + x + 14 + 3x = 180 Reorder the terms: 6 + 14 + x + x + 3x = 180 Combine like terms: 6 + 14 = 20 20 + x + x + 3x = 180 Combine like terms: x + x = 2x 20 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 20 + 5x = 180 Solving 20 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5x = 180 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 180 + -20 5x = 180 + -20 Combine like terms: 180 + -20 = 160 5x = 160 Divide each side by '5'. x = 32 Simplifying x = 32
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