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Simplifying 2x + 45 = 65 + -3x Reorder the terms: 45 + 2x = 65 + -3x Solving 45 + 2x = 65 + -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. 45 + 2x + 3x = 65 + -3x + 3x Combine like terms: 2x + 3x = 5x 45 + 5x = 65 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + 5x = 65 + 0 45 + 5x = 65 Add '-45' to each side of the equation. 45 + -45 + 5x = 65 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 65 + -45 5x = 65 + -45 Combine like terms: 65 + -45 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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