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Simplifying 0.5(4x + -2) = 0.2(10 + -5x) + 3 Reorder the terms: 0.5(-2 + 4x) = 0.2(10 + -5x) + 3 (-2 * 0.5 + 4x * 0.5) = 0.2(10 + -5x) + 3 (-1 + 2x) = 0.2(10 + -5x) + 3 -1 + 2x = (10 * 0.2 + -5x * 0.2) + 3 -1 + 2x = (2 + -1x) + 3 Reorder the terms: -1 + 2x = 2 + 3 + -1x Combine like terms: 2 + 3 = 5 -1 + 2x = 5 + -1x Solving -1 + 2x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 2x + x = 5 + -1x + x Combine like terms: 2x + x = 3x -1 + 3x = 5 + -1x + x Combine like terms: -1x + x = 0 -1 + 3x = 5 + 0 -1 + 3x = 5 Add '1' to each side of the equation. -1 + 1 + 3x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 5 + 1 3x = 5 + 1 Combine like terms: 5 + 1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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