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Simplifying 0.18(24) + 0.02x = 0.06(18 + x) Multiply 0.18 * 24 4.32 + 0.02x = 0.06(18 + x) 4.32 + 0.02x = (18 * 0.06 + x * 0.06) 4.32 + 0.02x = (1.08 + 0.06x) Solving 4.32 + 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. 4.32 + 0.02x + -0.06x = 1.08 + 0.06x + -0.06x Combine like terms: 0.02x + -0.06x = -0.04x 4.32 + -0.04x = 1.08 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 4.32 + -0.04x = 1.08 + 0.00 4.32 + -0.04x = 1.08 Add '-4.32' to each side of the equation. 4.32 + -4.32 + -0.04x = 1.08 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + -0.04x = 1.08 + -4.32 -0.04x = 1.08 + -4.32 Combine like terms: 1.08 + -4.32 = -3.24 -0.04x = -3.24 Divide each side by '-0.04'. x = 81 Simplifying x = 81
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