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