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Simplifying 75x + 5 = 120x + -10 Reorder the terms: 5 + 75x = 120x + -10 Reorder the terms: 5 + 75x = -10 + 120x Solving 5 + 75x = -10 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 5 + 75x + -120x = -10 + 120x + -120x Combine like terms: 75x + -120x = -45x 5 + -45x = -10 + 120x + -120x Combine like terms: 120x + -120x = 0 5 + -45x = -10 + 0 5 + -45x = -10 Add '-5' to each side of the equation. 5 + -5 + -45x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -45x = -10 + -5 -45x = -10 + -5 Combine like terms: -10 + -5 = -15 -45x = -15 Divide each side by '-45'. x = 0.3333333333 Simplifying x = 0.3333333333
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