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Simplifying 0.4(0.4 + 2x) = 1.5x (0.4 * 0.4 + 2x * 0.4) = 1.5x (0.16 + 0.8x) = 1.5x Solving 0.16 + 0.8x = 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 0.16 + 0.8x + -1.5x = 1.5x + -1.5x Combine like terms: 0.8x + -1.5x = -0.7x 0.16 + -0.7x = 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 0.16 + -0.7x = 0.0 Add '-0.16' to each side of the equation. 0.16 + -0.16 + -0.7x = 0.0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -0.7x = 0.0 + -0.16 -0.7x = 0.0 + -0.16 Combine like terms: 0.0 + -0.16 = -0.16 -0.7x = -0.16 Divide each side by '-0.7'. x = 0.2285714286 Simplifying x = 0.2285714286
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