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Simplifying 75 + x = 3x + -45 Reorder the terms: 75 + x = -45 + 3x Solving 75 + x = -45 + 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 + x + -3x = -45 + 3x + -3x Combine like terms: x + -3x = -2x 75 + -2x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 75 + -2x = -45 + 0 75 + -2x = -45 Add '-75' to each side of the equation. 75 + -75 + -2x = -45 + -75 Combine like terms: 75 + -75 = 0 0 + -2x = -45 + -75 -2x = -45 + -75 Combine like terms: -45 + -75 = -120 -2x = -120 Divide each side by '-2'. x = 60 Simplifying x = 60
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