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Simplifying 0.4(x + 0.6) = x Reorder the terms: 0.4(0.6 + x) = x (0.6 * 0.4 + x * 0.4) = x (0.24 + 0.4x) = x Solving 0.24 + 0.4x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.24 + 0.4x + -1x = x + -1x Combine like terms: 0.4x + -1x = -0.6x 0.24 + -0.6x = x + -1x Combine like terms: x + -1x = 0 0.24 + -0.6x = 0 Add '-0.24' to each side of the equation. 0.24 + -0.24 + -0.6x = 0 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + -0.6x = 0 + -0.24 -0.6x = 0 + -0.24 Combine like terms: 0 + -0.24 = -0.24 -0.6x = -0.24 Divide each side by '-0.6'. x = 0.4 Simplifying x = 0.4
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