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Simplifying 100(0.01) + x(0.04) = 100 + x(0.02) Multiply 100 * 0.01 1 + x(0.04) = 100 + x(0.02) Reorder the terms for easier multiplication: 1 + 0.04x = 100 + x(0.02) Reorder the terms for easier multiplication: 1 + 0.04x = 100 + 0.02x Solving 1 + 0.04x = 100 + 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. 1 + 0.04x + -0.02x = 100 + 0.02x + -0.02x Combine like terms: 0.04x + -0.02x = 0.02x 1 + 0.02x = 100 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 1 + 0.02x = 100 + 0.00 1 + 0.02x = 100 Add '-1' to each side of the equation. 1 + -1 + 0.02x = 100 + -1 Combine like terms: 1 + -1 = 0 0 + 0.02x = 100 + -1 0.02x = 100 + -1 Combine like terms: 100 + -1 = 99 0.02x = 99 Divide each side by '0.02'. x = 4950 Simplifying x = 4950
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