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Simplifying 0.4x + 1.8 = 0.6x + 0.1 Reorder the terms: 1.8 + 0.4x = 0.6x + 0.1 Reorder the terms: 1.8 + 0.4x = 0.1 + 0.6x Solving 1.8 + 0.4x = 0.1 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 1.8 + 0.4x + -0.6x = 0.1 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 1.8 + -0.2x = 0.1 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1.8 + -0.2x = 0.1 + 0.0 1.8 + -0.2x = 0.1 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.2x = 0.1 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.2x = 0.1 + -1.8 -0.2x = 0.1 + -1.8 Combine like terms: 0.1 + -1.8 = -1.7 -0.2x = -1.7 Divide each side by '-0.2'. x = 8.5 Simplifying x = 8.5
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