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Simplifying 0.40x + 200 = 0.07(x + 200) Reorder the terms: 200 + 0.40x = 0.07(x + 200) Reorder the terms: 200 + 0.40x = 0.07(200 + x) 200 + 0.40x = (200 * 0.07 + x * 0.07) 200 + 0.40x = (14 + 0.07x) Solving 200 + 0.40x = 14 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 200 + 0.40x + -0.07x = 14 + 0.07x + -0.07x Combine like terms: 0.40x + -0.07x = 0.33x 200 + 0.33x = 14 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 200 + 0.33x = 14 + 0.00 200 + 0.33x = 14 Add '-200' to each side of the equation. 200 + -200 + 0.33x = 14 + -200 Combine like terms: 200 + -200 = 0 0 + 0.33x = 14 + -200 0.33x = 14 + -200 Combine like terms: 14 + -200 = -186 0.33x = -186 Divide each side by '0.33'. x = -563.6363636 Simplifying x = -563.6363636
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