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Simplifying 0.02X + 0.08(8 + -1X) = 1.78 0.02X + (8 * 0.08 + -1X * 0.08) = 1.78 0.02X + (0.64 + -0.08X) = 1.78 Reorder the terms: 0.64 + 0.02X + -0.08X = 1.78 Combine like terms: 0.02X + -0.08X = -0.06X 0.64 + -0.06X = 1.78 Solving 0.64 + -0.06X = 1.78 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.64' to each side of the equation. 0.64 + -0.64 + -0.06X = 1.78 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -0.06X = 1.78 + -0.64 -0.06X = 1.78 + -0.64 Combine like terms: 1.78 + -0.64 = 1.14 -0.06X = 1.14 Divide each side by '-0.06'. X = -19 Simplifying X = -19
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