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Simplifying 2x + 75 = -3x + 120 Reorder the terms: 75 + 2x = -3x + 120 Reorder the terms: 75 + 2x = 120 + -3x Solving 75 + 2x = 120 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 75 + 2x + 3x = 120 + -3x + 3x Combine like terms: 2x + 3x = 5x 75 + 5x = 120 + -3x + 3x Combine like terms: -3x + 3x = 0 75 + 5x = 120 + 0 75 + 5x = 120 Add '-75' to each side of the equation. 75 + -75 + 5x = 120 + -75 Combine like terms: 75 + -75 = 0 0 + 5x = 120 + -75 5x = 120 + -75 Combine like terms: 120 + -75 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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