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Simplifying 0.2x + 4 = 0.4x + 10 Reorder the terms: 4 + 0.2x = 0.4x + 10 Reorder the terms: 4 + 0.2x = 10 + 0.4x Solving 4 + 0.2x = 10 + 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. 4 + 0.2x + -0.4x = 10 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x 4 + -0.2x = 10 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 4 + -0.2x = 10 + 0.0 4 + -0.2x = 10 Add '-4' to each side of the equation. 4 + -4 + -0.2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -0.2x = 10 + -4 -0.2x = 10 + -4 Combine like terms: 10 + -4 = 6 -0.2x = 6 Divide each side by '-0.2'. x = -30 Simplifying x = -30
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