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