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Simplifying 0.4(x + 100) + 0.2x = 49 Reorder the terms: 0.4(100 + x) + 0.2x = 49 (100 * 0.4 + x * 0.4) + 0.2x = 49 (40 + 0.4x) + 0.2x = 49 Combine like terms: 0.4x + 0.2x = 0.6x 40 + 0.6x = 49 Solving 40 + 0.6x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.6x = 49 + -40 Combine like terms: 40 + -40 = 0 0 + 0.6x = 49 + -40 0.6x = 49 + -40 Combine like terms: 49 + -40 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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