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Simplifying 0.4(x) + 2 = 0.2(x) + 11 Reorder the terms: 2 + 0.4x = 0.2(x) + 11 Reorder the terms: 2 + 0.4x = 11 + 0.2x Solving 2 + 0.4x = 11 + 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. 2 + 0.4x + -0.2x = 11 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 2 + 0.2x = 11 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 2 + 0.2x = 11 + 0.0 2 + 0.2x = 11 Add '-2' to each side of the equation. 2 + -2 + 0.2x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 0.2x = 11 + -2 0.2x = 11 + -2 Combine like terms: 11 + -2 = 9 0.2x = 9 Divide each side by '0.2'. x = 45 Simplifying x = 45
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