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Simplifying 0.04x + 10(0.01) = (10 + x)(0.02) Multiply 10 * 0.01 0.04x + 0.1 = (10 + x)(0.02) Reorder the terms: 0.1 + 0.04x = (10 + x)(0.02) Reorder the terms for easier multiplication: 0.1 + 0.04x = 0.02(10 + x) 0.1 + 0.04x = (10 * 0.02 + x * 0.02) 0.1 + 0.04x = (0.2 + 0.02x) Solving 0.1 + 0.04x = 0.2 + 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. 0.1 + 0.04x + -0.02x = 0.2 + 0.02x + -0.02x Combine like terms: 0.04x + -0.02x = 0.02x 0.1 + 0.02x = 0.2 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.1 + 0.02x = 0.2 + 0.00 0.1 + 0.02x = 0.2 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.02x = 0.2 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.02x = 0.2 + -0.1 0.02x = 0.2 + -0.1 Combine like terms: 0.2 + -0.1 = 0.1 0.02x = 0.1 Divide each side by '0.02'. x = 5 Simplifying x = 5
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