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Simplifying 0.01 * 6500 + 0.05x = 0.06 * 6000 + 0.01x + -75 Multiply 0.01 * 6500 65 + 0.05x = 0.06 * 6000 + 0.01x + -75 Multiply 0.06 * 6000 65 + 0.05x = 360 + 0.01x + -75 Reorder the terms: 65 + 0.05x = 360 + -75 + 0.01x Combine like terms: 360 + -75 = 285 65 + 0.05x = 285 + 0.01x Solving 65 + 0.05x = 285 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. 65 + 0.05x + -0.01x = 285 + 0.01x + -0.01x Combine like terms: 0.05x + -0.01x = 0.04x 65 + 0.04x = 285 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 65 + 0.04x = 285 + 0.00 65 + 0.04x = 285 Add '-65' to each side of the equation. 65 + -65 + 0.04x = 285 + -65 Combine like terms: 65 + -65 = 0 0 + 0.04x = 285 + -65 0.04x = 285 + -65 Combine like terms: 285 + -65 = 220 0.04x = 220 Divide each side by '0.04'. x = 5500 Simplifying x = 5500
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