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Simplifying 0.2x + 0.7 = 0.4x + -0.5 Reorder the terms: 0.7 + 0.2x = 0.4x + -0.5 Reorder the terms: 0.7 + 0.2x = -0.5 + 0.4x Solving 0.7 + 0.2x = -0.5 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 0.7 + 0.2x + -0.4x = -0.5 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x 0.7 + -0.2x = -0.5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.7 + -0.2x = -0.5 + 0.0 0.7 + -0.2x = -0.5 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.2x = -0.5 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.2x = -0.5 + -0.7 -0.2x = -0.5 + -0.7 Combine like terms: -0.5 + -0.7 = -1.2 -0.2x = -1.2 Divide each side by '-0.2'. x = 6 Simplifying x = 6
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