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Simplifying 0.4x + -0.48(0.4 + -0.1x) = 11.52 0.4x + (0.4 * -0.48 + -0.1x * -0.48) = 11.52 0.4x + (-0.192 + 0.048x) = 11.52 Reorder the terms: -0.192 + 0.4x + 0.048x = 11.52 Combine like terms: 0.4x + 0.048x = 0.448x -0.192 + 0.448x = 11.52 Solving -0.192 + 0.448x = 11.52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.192' to each side of the equation. -0.192 + 0.192 + 0.448x = 11.52 + 0.192 Combine like terms: -0.192 + 0.192 = 0.000 0.000 + 0.448x = 11.52 + 0.192 0.448x = 11.52 + 0.192 Combine like terms: 11.52 + 0.192 = 11.712 0.448x = 11.712 Divide each side by '0.448'. x = 26.14285714 Simplifying x = 26.14285714
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