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Simplifying 120 = 5(5x + 6) + -7x Reorder the terms: 120 = 5(6 + 5x) + -7x 120 = (6 * 5 + 5x * 5) + -7x 120 = (30 + 25x) + -7x Combine like terms: 25x + -7x = 18x 120 = 30 + 18x Solving 120 = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 120 + -18x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 120 + -18x = 30 + 0 120 + -18x = 30 Add '-120' to each side of the equation. 120 + -120 + -18x = 30 + -120 Combine like terms: 120 + -120 = 0 0 + -18x = 30 + -120 -18x = 30 + -120 Combine like terms: 30 + -120 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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