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Simplifying 0.4x + 1.12 + -0.5x + 0.2 = 0.4 Reorder the terms: 1.12 + 0.2 + 0.4x + -0.5x = 0.4 Combine like terms: 1.12 + 0.2 = 1.32 1.32 + 0.4x + -0.5x = 0.4 Combine like terms: 0.4x + -0.5x = -0.1x 1.32 + -0.1x = 0.4 Solving 1.32 + -0.1x = 0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.32' to each side of the equation. 1.32 + -1.32 + -0.1x = 0.4 + -1.32 Combine like terms: 1.32 + -1.32 = 0.00 0.00 + -0.1x = 0.4 + -1.32 -0.1x = 0.4 + -1.32 Combine like terms: 0.4 + -1.32 = -0.92 -0.1x = -0.92 Divide each side by '-0.1'. x = 9.2 Simplifying x = 9.2
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