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Simplifying 120 = (22x + 4) + (15x + 5) Reorder the terms: 120 = (4 + 22x) + (15x + 5) Remove parenthesis around (4 + 22x) 120 = 4 + 22x + (15x + 5) Reorder the terms: 120 = 4 + 22x + (5 + 15x) Remove parenthesis around (5 + 15x) 120 = 4 + 22x + 5 + 15x Reorder the terms: 120 = 4 + 5 + 22x + 15x Combine like terms: 4 + 5 = 9 120 = 9 + 22x + 15x Combine like terms: 22x + 15x = 37x 120 = 9 + 37x Solving 120 = 9 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. 120 + -37x = 9 + 37x + -37x Combine like terms: 37x + -37x = 0 120 + -37x = 9 + 0 120 + -37x = 9 Add '-120' to each side of the equation. 120 + -120 + -37x = 9 + -120 Combine like terms: 120 + -120 = 0 0 + -37x = 9 + -120 -37x = 9 + -120 Combine like terms: 9 + -120 = -111 -37x = -111 Divide each side by '-37'. x = 3 Simplifying x = 3
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