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Simplifying -0.2x + 6.4 = 0.5x + -0.6 Reorder the terms: 6.4 + -0.2x = 0.5x + -0.6 Reorder the terms: 6.4 + -0.2x = -0.6 + 0.5x Solving 6.4 + -0.2x = -0.6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6.4 + -0.2x + -0.5x = -0.6 + 0.5x + -0.5x Combine like terms: -0.2x + -0.5x = -0.7x 6.4 + -0.7x = -0.6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6.4 + -0.7x = -0.6 + 0.0 6.4 + -0.7x = -0.6 Add '-6.4' to each side of the equation. 6.4 + -6.4 + -0.7x = -0.6 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -0.7x = -0.6 + -6.4 -0.7x = -0.6 + -6.4 Combine like terms: -0.6 + -6.4 = -7 -0.7x = -7 Divide each side by '-0.7'. x = 10 Simplifying x = 10
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