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Simplifying 0.18(18) + 0.02x = 0.06(18 + x) Multiply 0.18 * 18 3.24 + 0.02x = 0.06(18 + x) 3.24 + 0.02x = (18 * 0.06 + x * 0.06) 3.24 + 0.02x = (1.08 + 0.06x) Solving 3.24 + 0.02x = 1.08 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 3.24 + 0.02x + -0.06x = 1.08 + 0.06x + -0.06x Combine like terms: 0.02x + -0.06x = -0.04x 3.24 + -0.04x = 1.08 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 3.24 + -0.04x = 1.08 + 0.00 3.24 + -0.04x = 1.08 Add '-3.24' to each side of the equation. 3.24 + -3.24 + -0.04x = 1.08 + -3.24 Combine like terms: 3.24 + -3.24 = 0.00 0.00 + -0.04x = 1.08 + -3.24 -0.04x = 1.08 + -3.24 Combine like terms: 1.08 + -3.24 = -2.16 -0.04x = -2.16 Divide each side by '-0.04'. x = 54 Simplifying x = 54
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