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Simplifying 15(2x + -1) = 10(2x + 5) Reorder the terms: 15(-1 + 2x) = 10(2x + 5) (-1 * 15 + 2x * 15) = 10(2x + 5) (-15 + 30x) = 10(2x + 5) Reorder the terms: -15 + 30x = 10(5 + 2x) -15 + 30x = (5 * 10 + 2x * 10) -15 + 30x = (50 + 20x) Solving -15 + 30x = 50 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -15 + 30x + -20x = 50 + 20x + -20x Combine like terms: 30x + -20x = 10x -15 + 10x = 50 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + 10x = 50 + 0 -15 + 10x = 50 Add '15' to each side of the equation. -15 + 15 + 10x = 50 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 50 + 15 10x = 50 + 15 Combine like terms: 50 + 15 = 65 10x = 65 Divide each side by '10'. x = 6.5 Simplifying x = 6.5
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