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Simplifying 0.2(10x + -20) = 0.5(8x + -4) Reorder the terms: 0.2(-20 + 10x) = 0.5(8x + -4) (-20 * 0.2 + 10x * 0.2) = 0.5(8x + -4) (-4 + 2x) = 0.5(8x + -4) Reorder the terms: -4 + 2x = 0.5(-4 + 8x) -4 + 2x = (-4 * 0.5 + 8x * 0.5) -4 + 2x = (-2 + 4x) Solving -4 + 2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = -2 + 0 -4 + -2x = -2 Add '4' to each side of the equation. -4 + 4 + -2x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -2 + 4 -2x = -2 + 4 Combine like terms: -2 + 4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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