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Simplifying 5(2x + -1) = 10(3x + 2) Reorder the terms: 5(-1 + 2x) = 10(3x + 2) (-1 * 5 + 2x * 5) = 10(3x + 2) (-5 + 10x) = 10(3x + 2) Reorder the terms: -5 + 10x = 10(2 + 3x) -5 + 10x = (2 * 10 + 3x * 10) -5 + 10x = (20 + 30x) Solving -5 + 10x = 20 + 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. -5 + 10x + -30x = 20 + 30x + -30x Combine like terms: 10x + -30x = -20x -5 + -20x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 -5 + -20x = 20 + 0 -5 + -20x = 20 Add '5' to each side of the equation. -5 + 5 + -20x = 20 + 5 Combine like terms: -5 + 5 = 0 0 + -20x = 20 + 5 -20x = 20 + 5 Combine like terms: 20 + 5 = 25 -20x = 25 Divide each side by '-20'. x = -1.25 Simplifying x = -1.25
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