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Simplifying 6 + -4(2X + -3) + -1(6 + -2X) = 6 Reorder the terms: 6 + -4(-3 + 2X) + -1(6 + -2X) = 6 6 + (-3 * -4 + 2X * -4) + -1(6 + -2X) = 6 6 + (12 + -8X) + -1(6 + -2X) = 6 6 + 12 + -8X + (6 * -1 + -2X * -1) = 6 6 + 12 + -8X + (-6 + 2X) = 6 Reorder the terms: 6 + 12 + -6 + -8X + 2X = 6 Combine like terms: 6 + 12 = 18 18 + -6 + -8X + 2X = 6 Combine like terms: 18 + -6 = 12 12 + -8X + 2X = 6 Combine like terms: -8X + 2X = -6X 12 + -6X = 6 Solving 12 + -6X = 6 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6X = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6X = 6 + -12 -6X = 6 + -12 Combine like terms: 6 + -12 = -6 -6X = -6 Divide each side by '-6'. X = 1 Simplifying X = 1
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