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Simplifying 3x + 45 = 2x + 75 Reorder the terms: 45 + 3x = 2x + 75 Reorder the terms: 45 + 3x = 75 + 2x Solving 45 + 3x = 75 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + 3x + -2x = 75 + 2x + -2x Combine like terms: 3x + -2x = 1x 45 + 1x = 75 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 1x = 75 + 0 45 + 1x = 75 Add '-45' to each side of the equation. 45 + -45 + 1x = 75 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 75 + -45 1x = 75 + -45 Combine like terms: 75 + -45 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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