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Simplifying 20x + 10 = 15x + 45 Reorder the terms: 10 + 20x = 15x + 45 Reorder the terms: 10 + 20x = 45 + 15x Solving 10 + 20x = 45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 20x + -15x = 45 + 15x + -15x Combine like terms: 20x + -15x = 5x 10 + 5x = 45 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + 5x = 45 + 0 10 + 5x = 45 Add '-10' to each side of the equation. 10 + -10 + 5x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 45 + -10 5x = 45 + -10 Combine like terms: 45 + -10 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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