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Simplifying -0.01(200) + 0.04x = 0.02(200 + x) Multiply -0.01 * 200 -2 + 0.04x = 0.02(200 + x) -2 + 0.04x = (200 * 0.02 + x * 0.02) -2 + 0.04x = (4 + 0.02x) Solving -2 + 0.04x = 4 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -2 + 0.04x + -0.02x = 4 + 0.02x + -0.02x Combine like terms: 0.04x + -0.02x = 0.02x -2 + 0.02x = 4 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -2 + 0.02x = 4 + 0.00 -2 + 0.02x = 4 Add '2' to each side of the equation. -2 + 2 + 0.02x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 0.02x = 4 + 2 0.02x = 4 + 2 Combine like terms: 4 + 2 = 6 0.02x = 6 Divide each side by '0.02'. x = 300 Simplifying x = 300
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