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Simplifying (4x + 23) + (9x + -38) = 180 Reorder the terms: (23 + 4x) + (9x + -38) = 180 Remove parenthesis around (23 + 4x) 23 + 4x + (9x + -38) = 180 Reorder the terms: 23 + 4x + (-38 + 9x) = 180 Remove parenthesis around (-38 + 9x) 23 + 4x + -38 + 9x = 180 Reorder the terms: 23 + -38 + 4x + 9x = 180 Combine like terms: 23 + -38 = -15 -15 + 4x + 9x = 180 Combine like terms: 4x + 9x = 13x -15 + 13x = 180 Solving -15 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13x = 180 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 180 + 15 13x = 180 + 15 Combine like terms: 180 + 15 = 195 13x = 195 Divide each side by '13'. x = 15 Simplifying x = 15
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