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Simplifying (4x) + (x + 17) + (2x + 23) = 180 Reorder the terms: (4x) + (17 + x) + (2x + 23) = 180 Remove parenthesis around (17 + x) (4x) + 17 + x + (2x + 23) = 180 Reorder the terms: (4x) + 17 + x + (23 + 2x) = 180 Remove parenthesis around (23 + 2x) (4x) + 17 + x + 23 + 2x = 180 Reorder the terms: 17 + 23 + (4x) + x + 2x = 180 Combine like terms: 17 + 23 = 40 40 + (4x) + x + 2x = 180 Combine like terms: (4x) + x = 5x 40 + 5x + 2x = 180 Combine like terms: 5x + 2x = 7x 40 + 7x = 180 Solving 40 + 7x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7x = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 180 + -40 7x = 180 + -40 Combine like terms: 180 + -40 = 140 7x = 140 Divide each side by '7'. x = 20 Simplifying x = 20
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