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Simplifying (5x + 45) + (3x + -24) = 180 Reorder the terms: (45 + 5x) + (3x + -24) = 180 Remove parenthesis around (45 + 5x) 45 + 5x + (3x + -24) = 180 Reorder the terms: 45 + 5x + (-24 + 3x) = 180 Remove parenthesis around (-24 + 3x) 45 + 5x + -24 + 3x = 180 Reorder the terms: 45 + -24 + 5x + 3x = 180 Combine like terms: 45 + -24 = 21 21 + 5x + 3x = 180 Combine like terms: 5x + 3x = 8x 21 + 8x = 180 Solving 21 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 8x = 180 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 180 + -21 8x = 180 + -21 Combine like terms: 180 + -21 = 159 8x = 159 Divide each side by '8'. x = 19.875 Simplifying x = 19.875
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