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Simplifying 0.4x + 1 = 1.6 + -1.1x Reorder the terms: 1 + 0.4x = 1.6 + -1.1x Solving 1 + 0.4x = 1.6 + -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. 1 + 0.4x + 1.1x = 1.6 + -1.1x + 1.1x Combine like terms: 0.4x + 1.1x = 1.5x 1 + 1.5x = 1.6 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 1 + 1.5x = 1.6 + 0.0 1 + 1.5x = 1.6 Add '-1' to each side of the equation. 1 + -1 + 1.5x = 1.6 + -1 Combine like terms: 1 + -1 = 0 0 + 1.5x = 1.6 + -1 1.5x = 1.6 + -1 Combine like terms: 1.6 + -1 = 0.6 1.5x = 0.6 Divide each side by '1.5'. x = 0.4 Simplifying x = 0.4
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