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Simplifying 30 + 0.05x = 40 + 0.01x Solving 30 + 0.05x = 40 + 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. 30 + 0.05x + -0.01x = 40 + 0.01x + -0.01x Combine like terms: 0.05x + -0.01x = 0.04x 30 + 0.04x = 40 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 30 + 0.04x = 40 + 0.00 30 + 0.04x = 40 Add '-30' to each side of the equation. 30 + -30 + 0.04x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 0.04x = 40 + -30 0.04x = 40 + -30 Combine like terms: 40 + -30 = 10 0.04x = 10 Divide each side by '0.04'. x = 250 Simplifying x = 250
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