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Simplifying 0.4x + 0.8 = 0.6x + -0.6 Reorder the terms: 0.8 + 0.4x = 0.6x + -0.6 Reorder the terms: 0.8 + 0.4x = -0.6 + 0.6x Solving 0.8 + 0.4x = -0.6 + 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. 0.8 + 0.4x + -0.6x = -0.6 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 0.8 + -0.2x = -0.6 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.8 + -0.2x = -0.6 + 0.0 0.8 + -0.2x = -0.6 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.2x = -0.6 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.2x = -0.6 + -0.8 -0.2x = -0.6 + -0.8 Combine like terms: -0.6 + -0.8 = -1.4 -0.2x = -1.4 Divide each side by '-0.2'. x = 7 Simplifying x = 7
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