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Simplifying 10(-0.4 + 0.1x) = 0.2x (-0.4 * 10 + 0.1x * 10) = 0.2x (-4 + 1x) = 0.2x Solving -4 + 1x = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -4 + 1x + -0.2x = 0.2x + -0.2x Combine like terms: 1x + -0.2x = 0.8x -4 + 0.8x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4 + 0.8x = 0.0 Add '4' to each side of the equation. -4 + 4 + 0.8x = 0.0 + 4 Combine like terms: -4 + 4 = 0 0 + 0.8x = 0.0 + 4 0.8x = 0.0 + 4 Combine like terms: 0.0 + 4 = 4 0.8x = 4 Divide each side by '0.8'. x = 5 Simplifying x = 5
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