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Simplifying 0.24(6) + 0.04X = 0.12(6 + X) Multiply 0.24 * 6 1.44 + 0.04X = 0.12(6 + X) 1.44 + 0.04X = (6 * 0.12 + X * 0.12) 1.44 + 0.04X = (0.72 + 0.12X) Solving 1.44 + 0.04X = 0.72 + 0.12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.12X' to each side of the equation. 1.44 + 0.04X + -0.12X = 0.72 + 0.12X + -0.12X Combine like terms: 0.04X + -0.12X = -0.08X 1.44 + -0.08X = 0.72 + 0.12X + -0.12X Combine like terms: 0.12X + -0.12X = 0.00 1.44 + -0.08X = 0.72 + 0.00 1.44 + -0.08X = 0.72 Add '-1.44' to each side of the equation. 1.44 + -1.44 + -0.08X = 0.72 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + -0.08X = 0.72 + -1.44 -0.08X = 0.72 + -1.44 Combine like terms: 0.72 + -1.44 = -0.72 -0.08X = -0.72 Divide each side by '-0.08'. X = 9 Simplifying X = 9
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