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Simplifying 0.4 = x + 0.1x Combine like terms: x + 0.1x = 1.1x 0.4 = 1.1x Solving 0.4 = 1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.1x' to each side of the equation. 0.4 + -1.1x = 1.1x + -1.1x Combine like terms: 1.1x + -1.1x = 0.0 0.4 + -1.1x = 0.0 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -1.1x = 0.0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1.1x = 0.0 + -0.4 -1.1x = 0.0 + -0.4 Combine like terms: 0.0 + -0.4 = -0.4 -1.1x = -0.4 Divide each side by '-1.1'. x = 0.3636363636 Simplifying x = 0.3636363636
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