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Simplifying 0.07(x + 200) + 0.13x = 84 Reorder the terms: 0.07(200 + x) + 0.13x = 84 (200 * 0.07 + x * 0.07) + 0.13x = 84 (14 + 0.07x) + 0.13x = 84 Combine like terms: 0.07x + 0.13x = 0.2x 14 + 0.2x = 84 Solving 14 + 0.2x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 0.2x = 84 + -14 Combine like terms: 14 + -14 = 0 0 + 0.2x = 84 + -14 0.2x = 84 + -14 Combine like terms: 84 + -14 = 70 0.2x = 70 Divide each side by '0.2'. x = 350 Simplifying x = 350
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