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Simplifying 2x + 75 = 120 + -1x Reorder the terms: 75 + 2x = 120 + -1x Solving 75 + 2x = 120 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 75 + 2x + x = 120 + -1x + x Combine like terms: 2x + x = 3x 75 + 3x = 120 + -1x + x Combine like terms: -1x + x = 0 75 + 3x = 120 + 0 75 + 3x = 120 Add '-75' to each side of the equation. 75 + -75 + 3x = 120 + -75 Combine like terms: 75 + -75 = 0 0 + 3x = 120 + -75 3x = 120 + -75 Combine like terms: 120 + -75 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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