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Simplifying 6(0.333 + -1X) + -1(2X + 7) = 1 (0.333 * 6 + -1X * 6) + -1(2X + 7) = 1 (1.998 + -6X) + -1(2X + 7) = 1 Reorder the terms: 1.998 + -6X + -1(7 + 2X) = 1 1.998 + -6X + (7 * -1 + 2X * -1) = 1 1.998 + -6X + (-7 + -2X) = 1 Reorder the terms: 1.998 + -7 + -6X + -2X = 1 Combine like terms: 1.998 + -7 = -5.002 -5.002 + -6X + -2X = 1 Combine like terms: -6X + -2X = -8X -5.002 + -8X = 1 Solving -5.002 + -8X = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5.002' to each side of the equation. -5.002 + 5.002 + -8X = 1 + 5.002 Combine like terms: -5.002 + 5.002 = 0.000 0.000 + -8X = 1 + 5.002 -8X = 1 + 5.002 Combine like terms: 1 + 5.002 = 6.002 -8X = 6.002 Divide each side by '-8'. X = -0.75025 Simplifying X = -0.75025
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