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Simplifying 2(5x + -2) = 10(3x + 2) Reorder the terms: 2(-2 + 5x) = 10(3x + 2) (-2 * 2 + 5x * 2) = 10(3x + 2) (-4 + 10x) = 10(3x + 2) Reorder the terms: -4 + 10x = 10(2 + 3x) -4 + 10x = (2 * 10 + 3x * 10) -4 + 10x = (20 + 30x) Solving -4 + 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. -4 + 10x + -30x = 20 + 30x + -30x Combine like terms: 10x + -30x = -20x -4 + -20x = 20 + 30x + -30x Combine like terms: 30x + -30x = 0 -4 + -20x = 20 + 0 -4 + -20x = 20 Add '4' to each side of the equation. -4 + 4 + -20x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -20x = 20 + 4 -20x = 20 + 4 Combine like terms: 20 + 4 = 24 -20x = 24 Divide each side by '-20'. x = -1.2 Simplifying x = -1.2
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