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Simplifying 0.4x + 10 = 0.2x + 9 Reorder the terms: 10 + 0.4x = 0.2x + 9 Reorder the terms: 10 + 0.4x = 9 + 0.2x Solving 10 + 0.4x = 9 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 10 + 0.4x + -0.2x = 9 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 10 + 0.2x = 9 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 10 + 0.2x = 9 + 0.0 10 + 0.2x = 9 Add '-10' to each side of the equation. 10 + -10 + 0.2x = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 0.2x = 9 + -10 0.2x = 9 + -10 Combine like terms: 9 + -10 = -1 0.2x = -1 Divide each side by '0.2'. x = -5 Simplifying x = -5
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