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Simplifying 0.18(24) + 0.02X = 0.06(24 + X) Multiply 0.18 * 24 4.32 + 0.02X = 0.06(24 + X) 4.32 + 0.02X = (24 * 0.06 + X * 0.06) 4.32 + 0.02X = (1.44 + 0.06X) Solving 4.32 + 0.02X = 1.44 + 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 = 1.44 + 0.06X + -0.06X Combine like terms: 0.02X + -0.06X = -0.04X 4.32 + -0.04X = 1.44 + 0.06X + -0.06X Combine like terms: 0.06X + -0.06X = 0.00 4.32 + -0.04X = 1.44 + 0.00 4.32 + -0.04X = 1.44 Add '-4.32' to each side of the equation. 4.32 + -4.32 + -0.04X = 1.44 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + -0.04X = 1.44 + -4.32 -0.04X = 1.44 + -4.32 Combine like terms: 1.44 + -4.32 = -2.88 -0.04X = -2.88 Divide each side by '-0.04'. X = 72 Simplifying X = 72
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