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Simplifying 50 + 0.05(x + -500) = 20 + 0.06(x + -200) Reorder the terms: 50 + 0.05(-500 + x) = 20 + 0.06(x + -200) 50 + (-500 * 0.05 + x * 0.05) = 20 + 0.06(x + -200) 50 + (-25 + 0.05x) = 20 + 0.06(x + -200) Combine like terms: 50 + -25 = 25 25 + 0.05x = 20 + 0.06(x + -200) Reorder the terms: 25 + 0.05x = 20 + 0.06(-200 + x) 25 + 0.05x = 20 + (-200 * 0.06 + x * 0.06) 25 + 0.05x = 20 + (-12 + 0.06x) Combine like terms: 20 + -12 = 8 25 + 0.05x = 8 + 0.06x Solving 25 + 0.05x = 8 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 25 + 0.05x + -0.06x = 8 + 0.06x + -0.06x Combine like terms: 0.05x + -0.06x = -0.01x 25 + -0.01x = 8 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 25 + -0.01x = 8 + 0.00 25 + -0.01x = 8 Add '-25' to each side of the equation. 25 + -25 + -0.01x = 8 + -25 Combine like terms: 25 + -25 = 0 0 + -0.01x = 8 + -25 -0.01x = 8 + -25 Combine like terms: 8 + -25 = -17 -0.01x = -17 Divide each side by '-0.01'. x = 1700 Simplifying x = 1700
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