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Simplifying 0.08(x + 200) = 0.07x + 20 Reorder the terms: 0.08(200 + x) = 0.07x + 20 (200 * 0.08 + x * 0.08) = 0.07x + 20 (16 + 0.08x) = 0.07x + 20 Reorder the terms: 16 + 0.08x = 20 + 0.07x Solving 16 + 0.08x = 20 + 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. 16 + 0.08x + -0.07x = 20 + 0.07x + -0.07x Combine like terms: 0.08x + -0.07x = 0.01x 16 + 0.01x = 20 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 16 + 0.01x = 20 + 0.00 16 + 0.01x = 20 Add '-16' to each side of the equation. 16 + -16 + 0.01x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 0.01x = 20 + -16 0.01x = 20 + -16 Combine like terms: 20 + -16 = 4 0.01x = 4 Divide each side by '0.01'. x = 400 Simplifying x = 400
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