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Simplifying 1.6x + -2.4 + 0.1x = 0.1x + 0.8 Reorder the terms: -2.4 + 1.6x + 0.1x = 0.1x + 0.8 Combine like terms: 1.6x + 0.1x = 1.7x -2.4 + 1.7x = 0.1x + 0.8 Reorder the terms: -2.4 + 1.7x = 0.8 + 0.1x Solving -2.4 + 1.7x = 0.8 + 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. -2.4 + 1.7x + -0.1x = 0.8 + 0.1x + -0.1x Combine like terms: 1.7x + -0.1x = 1.6x -2.4 + 1.6x = 0.8 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -2.4 + 1.6x = 0.8 + 0.0 -2.4 + 1.6x = 0.8 Add '2.4' to each side of the equation. -2.4 + 2.4 + 1.6x = 0.8 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1.6x = 0.8 + 2.4 1.6x = 0.8 + 2.4 Combine like terms: 0.8 + 2.4 = 3.2 1.6x = 3.2 Divide each side by '1.6'. x = 2 Simplifying x = 2
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