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Simplifying 2(8x + 60) = 5(9x + -10) Reorder the terms: 2(60 + 8x) = 5(9x + -10) (60 * 2 + 8x * 2) = 5(9x + -10) (120 + 16x) = 5(9x + -10) Reorder the terms: 120 + 16x = 5(-10 + 9x) 120 + 16x = (-10 * 5 + 9x * 5) 120 + 16x = (-50 + 45x) Solving 120 + 16x = -50 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 120 + 16x + -45x = -50 + 45x + -45x Combine like terms: 16x + -45x = -29x 120 + -29x = -50 + 45x + -45x Combine like terms: 45x + -45x = 0 120 + -29x = -50 + 0 120 + -29x = -50 Add '-120' to each side of the equation. 120 + -120 + -29x = -50 + -120 Combine like terms: 120 + -120 = 0 0 + -29x = -50 + -120 -29x = -50 + -120 Combine like terms: -50 + -120 = -170 -29x = -170 Divide each side by '-29'. x = 5.862068966 Simplifying x = 5.862068966
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