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Simplifying (4x + -23) + (2x + 17) = 180 Reorder the terms: (-23 + 4x) + (2x + 17) = 180 Remove parenthesis around (-23 + 4x) -23 + 4x + (2x + 17) = 180 Reorder the terms: -23 + 4x + (17 + 2x) = 180 Remove parenthesis around (17 + 2x) -23 + 4x + 17 + 2x = 180 Reorder the terms: -23 + 17 + 4x + 2x = 180 Combine like terms: -23 + 17 = -6 -6 + 4x + 2x = 180 Combine like terms: 4x + 2x = 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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