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Simplifying 2x + 45 = 4x + -75 Reorder the terms: 45 + 2x = 4x + -75 Reorder the terms: 45 + 2x = -75 + 4x Solving 45 + 2x = -75 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + 2x + -4x = -75 + 4x + -4x Combine like terms: 2x + -4x = -2x 45 + -2x = -75 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + -2x = -75 + 0 45 + -2x = -75 Add '-45' to each side of the equation. 45 + -45 + -2x = -75 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = -75 + -45 -2x = -75 + -45 Combine like terms: -75 + -45 = -120 -2x = -120 Divide each side by '-2'. x = 60 Simplifying x = 60
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