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Simplifying 4(0.2x + -0.1) = 0.2x + 0.8 Reorder the terms: 4(-0.1 + 0.2x) = 0.2x + 0.8 (-0.1 * 4 + 0.2x * 4) = 0.2x + 0.8 (-0.4 + 0.8x) = 0.2x + 0.8 Reorder the terms: -0.4 + 0.8x = 0.8 + 0.2x Solving -0.4 + 0.8x = 0.8 + 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. -0.4 + 0.8x + -0.2x = 0.8 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x -0.4 + 0.6x = 0.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.4 + 0.6x = 0.8 + 0.0 -0.4 + 0.6x = 0.8 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.6x = 0.8 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.6x = 0.8 + 0.4 0.6x = 0.8 + 0.4 Combine like terms: 0.8 + 0.4 = 1.2 0.6x = 1.2 Divide each side by '0.6'. x = 2 Simplifying x = 2
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