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Simplifying (0.4x + 50) * 2 = x Reorder the terms: (50 + 0.4x) * 2 = x Reorder the terms for easier multiplication: 2(50 + 0.4x) = x (50 * 2 + 0.4x * 2) = x (100 + 0.8x) = x Solving 100 + 0.8x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 100 + 0.8x + -1x = x + -1x Combine like terms: 0.8x + -1x = -0.2x 100 + -0.2x = x + -1x Combine like terms: x + -1x = 0 100 + -0.2x = 0 Add '-100' to each side of the equation. 100 + -100 + -0.2x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -0.2x = 0 + -100 -0.2x = 0 + -100 Combine like terms: 0 + -100 = -100 -0.2x = -100 Divide each side by '-0.2'. x = 500 Simplifying x = 500
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