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Simplifying 0.9 = 0.4 + 0.1x Solving 0.9 = 0.4 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 0.9 + -0.1x = 0.4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.9 + -0.1x = 0.4 + 0.0 0.9 + -0.1x = 0.4 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.1x = 0.4 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.1x = 0.4 + -0.9 -0.1x = 0.4 + -0.9 Combine like terms: 0.4 + -0.9 = -0.5 -0.1x = -0.5 Divide each side by '-0.1'. x = 5 Simplifying x = 5
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