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