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Simplifying -2(4X + -5) + -6(2X + 1) = 6 Reorder the terms: -2(-5 + 4X) + -6(2X + 1) = 6 (-5 * -2 + 4X * -2) + -6(2X + 1) = 6 (10 + -8X) + -6(2X + 1) = 6 Reorder the terms: 10 + -8X + -6(1 + 2X) = 6 10 + -8X + (1 * -6 + 2X * -6) = 6 10 + -8X + (-6 + -12X) = 6 Reorder the terms: 10 + -6 + -8X + -12X = 6 Combine like terms: 10 + -6 = 4 4 + -8X + -12X = 6 Combine like terms: -8X + -12X = -20X 4 + -20X = 6 Solving 4 + -20X = 6 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -20X = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -20X = 6 + -4 -20X = 6 + -4 Combine like terms: 6 + -4 = 2 -20X = 2 Divide each side by '-20'. X = -0.1 Simplifying X = -0.1
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