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Simplifying 120 = (4x + 6) + (7x + 15) Reorder the terms: 120 = (6 + 4x) + (7x + 15) Remove parenthesis around (6 + 4x) 120 = 6 + 4x + (7x + 15) Reorder the terms: 120 = 6 + 4x + (15 + 7x) Remove parenthesis around (15 + 7x) 120 = 6 + 4x + 15 + 7x Reorder the terms: 120 = 6 + 15 + 4x + 7x Combine like terms: 6 + 15 = 21 120 = 21 + 4x + 7x Combine like terms: 4x + 7x = 11x 120 = 21 + 11x Solving 120 = 21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 120 + -11x = 21 + 11x + -11x Combine like terms: 11x + -11x = 0 120 + -11x = 21 + 0 120 + -11x = 21 Add '-120' to each side of the equation. 120 + -120 + -11x = 21 + -120 Combine like terms: 120 + -120 = 0 0 + -11x = 21 + -120 -11x = 21 + -120 Combine like terms: 21 + -120 = -99 -11x = -99 Divide each side by '-11'. x = 9 Simplifying x = 9
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