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Simplifying 5(2x + -1) = 10(3x + 1) Reorder the terms: 5(-1 + 2x) = 10(3x + 1) (-1 * 5 + 2x * 5) = 10(3x + 1) (-5 + 10x) = 10(3x + 1) Reorder the terms: -5 + 10x = 10(1 + 3x) -5 + 10x = (1 * 10 + 3x * 10) -5 + 10x = (10 + 30x) Solving -5 + 10x = 10 + 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 = 10 + 30x + -30x Combine like terms: 10x + -30x = -20x -5 + -20x = 10 + 30x + -30x Combine like terms: 30x + -30x = 0 -5 + -20x = 10 + 0 -5 + -20x = 10 Add '5' to each side of the equation. -5 + 5 + -20x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -20x = 10 + 5 -20x = 10 + 5 Combine like terms: 10 + 5 = 15 -20x = 15 Divide each side by '-20'. x = -0.75 Simplifying x = -0.75
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