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Simplifying (0.1)(1) + 0 = 0.02(x + 1) Multiply 0.1 * 1 0.1 + 0 = 0.02(x + 1) Combine like terms: 0.1 + 0 = 0.1 0.1 = 0.02(x + 1) Reorder the terms: 0.1 = 0.02(1 + x) 0.1 = (1 * 0.02 + x * 0.02) 0.1 = (0.02 + 0.02x) Solving 0.1 = 0.02 + 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 + -0.02x = 0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.1 + -0.02x = 0.02 + 0.00 0.1 + -0.02x = 0.02 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.02x = 0.02 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.02x = 0.02 + -0.1 -0.02x = 0.02 + -0.1 Combine like terms: 0.02 + -0.1 = -0.08 -0.02x = -0.08 Divide each side by '-0.02'. x = 4 Simplifying x = 4
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