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Simplifying 0.2(2.5 + 1x) = 0.8x (2.5 * 0.2 + 1x * 0.2) = 0.8x (0.5 + 0.2x) = 0.8x Solving 0.5 + 0.2x = 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.5 + 0.2x + -0.8x = 0.8x + -0.8x Combine like terms: 0.2x + -0.8x = -0.6x 0.5 + -0.6x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.5 + -0.6x = 0.0 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.6x = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.6x = 0.0 + -0.5 -0.6x = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 -0.6x = -0.5 Divide each side by '-0.6'. x = 0.8333333333 Simplifying x = 0.8333333333
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