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Simplifying 0.02(200) + 0.05x = 0.01(300 + x) Multiply 0.02 * 200 4 + 0.05x = 0.01(300 + x) 4 + 0.05x = (300 * 0.01 + x * 0.01) 4 + 0.05x = (3 + 0.01x) Solving 4 + 0.05x = 3 + 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. 4 + 0.05x + -0.01x = 3 + 0.01x + -0.01x Combine like terms: 0.05x + -0.01x = 0.04x 4 + 0.04x = 3 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 4 + 0.04x = 3 + 0.00 4 + 0.04x = 3 Add '-4' to each side of the equation. 4 + -4 + 0.04x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 0.04x = 3 + -4 0.04x = 3 + -4 Combine like terms: 3 + -4 = -1 0.04x = -1 Divide each side by '0.04'. x = -25 Simplifying x = -25
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