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Simplifying 40 + 0.01x = 15 + 0.06x Solving 40 + 0.01x = 15 + 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. 40 + 0.01x + -0.06x = 15 + 0.06x + -0.06x Combine like terms: 0.01x + -0.06x = -0.05x 40 + -0.05x = 15 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 40 + -0.05x = 15 + 0.00 40 + -0.05x = 15 Add '-40' to each side of the equation. 40 + -40 + -0.05x = 15 + -40 Combine like terms: 40 + -40 = 0 0 + -0.05x = 15 + -40 -0.05x = 15 + -40 Combine like terms: 15 + -40 = -25 -0.05x = -25 Divide each side by '-0.05'. x = 500 Simplifying x = 500
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