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Simplifying 20x + 45 = 5(3x + 2) Reorder the terms: 45 + 20x = 5(3x + 2) Reorder the terms: 45 + 20x = 5(2 + 3x) 45 + 20x = (2 * 5 + 3x * 5) 45 + 20x = (10 + 15x) Solving 45 + 20x = 10 + 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. 45 + 20x + -15x = 10 + 15x + -15x Combine like terms: 20x + -15x = 5x 45 + 5x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 45 + 5x = 10 + 0 45 + 5x = 10 Add '-45' to each side of the equation. 45 + -45 + 5x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 10 + -45 5x = 10 + -45 Combine like terms: 10 + -45 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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