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Simplifying 0.8(0.5 + 2x) = 2x + 0.4 (0.5 * 0.8 + 2x * 0.8) = 2x + 0.4 (0.4 + 1.6x) = 2x + 0.4 Reorder the terms: 0.4 + 1.6x = 0.4 + 2x Add '-0.4' to each side of the equation. 0.4 + -0.4 + 1.6x = 0.4 + -0.4 + 2x Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 1.6x = 0.4 + -0.4 + 2x 1.6x = 0.4 + -0.4 + 2x Combine like terms: 0.4 + -0.4 = 0.0 1.6x = 0.0 + 2x 1.6x = 2x Solving 1.6x = 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. 1.6x + -2x = 2x + -2x Combine like terms: 1.6x + -2x = -0.4x -0.4x = 2x + -2x Combine like terms: 2x + -2x = 0 -0.4x = 0 Divide each side by '-0.4'. x = 0 Simplifying x = 0
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