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Simplifying 20(x + 2.50) = 15(2x + 1) Reorder the terms: 20(2.50 + x) = 15(2x + 1) (2.50 * 20 + x * 20) = 15(2x + 1) (50 + 20x) = 15(2x + 1) Reorder the terms: 50 + 20x = 15(1 + 2x) 50 + 20x = (1 * 15 + 2x * 15) 50 + 20x = (15 + 30x) Solving 50 + 20x = 15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 50 + 20x + -30x = 15 + 30x + -30x Combine like terms: 20x + -30x = -10x 50 + -10x = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 50 + -10x = 15 + 0 50 + -10x = 15 Add '-50' to each side of the equation. 50 + -50 + -10x = 15 + -50 Combine like terms: 50 + -50 = 0 0 + -10x = 15 + -50 -10x = 15 + -50 Combine like terms: 15 + -50 = -35 -10x = -35 Divide each side by '-10'. x = 3.5 Simplifying x = 3.5
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