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Simplifying 23 + (5x + -1) + (180 + -1(9x + 2)) = 180 Reorder the terms: 23 + (-1 + 5x) + (180 + -1(9x + 2)) = 180 Remove parenthesis around (-1 + 5x) 23 + -1 + 5x + (180 + -1(9x + 2)) = 180 Reorder the terms: 23 + -1 + 5x + (180 + -1(2 + 9x)) = 180 23 + -1 + 5x + (180 + (2 * -1 + 9x * -1)) = 180 23 + -1 + 5x + (180 + (-2 + -9x)) = 180 Combine like terms: 180 + -2 = 178 23 + -1 + 5x + (178 + -9x) = 180 Remove parenthesis around (178 + -9x) 23 + -1 + 5x + 178 + -9x = 180 Reorder the terms: 23 + -1 + 178 + 5x + -9x = 180 Combine like terms: 23 + -1 = 22 22 + 178 + 5x + -9x = 180 Combine like terms: 22 + 178 = 200 200 + 5x + -9x = 180 Combine like terms: 5x + -9x = -4x 200 + -4x = 180 Solving 200 + -4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -4x = 180 + -200 Combine like terms: 200 + -200 = 0 0 + -4x = 180 + -200 -4x = 180 + -200 Combine like terms: 180 + -200 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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