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Simplifying 0.60(5x + -10) = 2(0.5x + 6) Reorder the terms: 0.60(-10 + 5x) = 2(0.5x + 6) (-10 * 0.60 + 5x * 0.60) = 2(0.5x + 6) (-6 + 3x) = 2(0.5x + 6) Reorder the terms: -6 + 3x = 2(6 + 0.5x) -6 + 3x = (6 * 2 + 0.5x * 2) -6 + 3x = (12 + 1x) Solving -6 + 3x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 3x + -1x = 12 + 1x + -1x Combine like terms: 3x + -1x = 2x -6 + 2x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 2x = 12 + 0 -6 + 2x = 12 Add '6' to each side of the equation. -6 + 6 + 2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 12 + 6 2x = 12 + 6 Combine like terms: 12 + 6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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