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Simplifying (x + 23) + (5x + -29) = 180 Reorder the terms: (23 + x) + (5x + -29) = 180 Remove parenthesis around (23 + x) 23 + x + (5x + -29) = 180 Reorder the terms: 23 + x + (-29 + 5x) = 180 Remove parenthesis around (-29 + 5x) 23 + x + -29 + 5x = 180 Reorder the terms: 23 + -29 + x + 5x = 180 Combine like terms: 23 + -29 = -6 -6 + x + 5x = 180 Combine like terms: x + 5x = 6x -6 + 6x = 180 Solving -6 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 180 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 180 + 6 6x = 180 + 6 Combine like terms: 180 + 6 = 186 6x = 186 Divide each side by '6'. x = 31 Simplifying x = 31
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