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Simplifying (4x + 14) + (9x + -16) = 180 Reorder the terms: (14 + 4x) + (9x + -16) = 180 Remove parenthesis around (14 + 4x) 14 + 4x + (9x + -16) = 180 Reorder the terms: 14 + 4x + (-16 + 9x) = 180 Remove parenthesis around (-16 + 9x) 14 + 4x + -16 + 9x = 180 Reorder the terms: 14 + -16 + 4x + 9x = 180 Combine like terms: 14 + -16 = -2 -2 + 4x + 9x = 180 Combine like terms: 4x + 9x = 13x -2 + 13x = 180 Solving -2 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13x = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 180 + 2 13x = 180 + 2 Combine like terms: 180 + 2 = 182 13x = 182 Divide each side by '13'. x = 14 Simplifying x = 14
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