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Simplifying 0.25(4x + 2) = 0.20(10x + 1) Reorder the terms: 0.25(2 + 4x) = 0.20(10x + 1) (2 * 0.25 + 4x * 0.25) = 0.20(10x + 1) (0.5 + 1x) = 0.20(10x + 1) Reorder the terms: 0.5 + 1x = 0.20(1 + 10x) 0.5 + 1x = (1 * 0.20 + 10x * 0.20) 0.5 + 1x = (0.2 + 2x) Solving 0.5 + 1x = 0.2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.5 + 1x + -2x = 0.2 + 2x + -2x Combine like terms: 1x + -2x = -1x 0.5 + -1x = 0.2 + 2x + -2x Combine like terms: 2x + -2x = 0 0.5 + -1x = 0.2 + 0 0.5 + -1x = 0.2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1x = 0.2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1x = 0.2 + -0.5 -1x = 0.2 + -0.5 Combine like terms: 0.2 + -0.5 = -0.3 -1x = -0.3 Divide each side by '-1'. x = 0.3 Simplifying x = 0.3
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