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Simplifying 0.4x + 0.9 = 0.6x + -0.1 Reorder the terms: 0.9 + 0.4x = 0.6x + -0.1 Reorder the terms: 0.9 + 0.4x = -0.1 + 0.6x Solving 0.9 + 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. 0.9 + 0.4x + -0.6x = -0.1 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 0.9 + -0.2x = -0.1 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.9 + -0.2x = -0.1 + 0.0 0.9 + -0.2x = -0.1 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.2x = -0.1 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.2x = -0.1 + -0.9 -0.2x = -0.1 + -0.9 Combine like terms: -0.1 + -0.9 = -1 -0.2x = -1 Divide each side by '-0.2'. x = 5 Simplifying x = 5
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