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Simplifying -6(-7X + -3) = -6X + 6(-5 + 4X) Reorder the terms: -6(-3 + -7X) = -6X + 6(-5 + 4X) (-3 * -6 + -7X * -6) = -6X + 6(-5 + 4X) (18 + 42X) = -6X + 6(-5 + 4X) 18 + 42X = -6X + (-5 * 6 + 4X * 6) 18 + 42X = -6X + (-30 + 24X) Reorder the terms: 18 + 42X = -30 + -6X + 24X Combine like terms: -6X + 24X = 18X 18 + 42X = -30 + 18X Solving 18 + 42X = -30 + 18X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18X' to each side of the equation. 18 + 42X + -18X = -30 + 18X + -18X Combine like terms: 42X + -18X = 24X 18 + 24X = -30 + 18X + -18X Combine like terms: 18X + -18X = 0 18 + 24X = -30 + 0 18 + 24X = -30 Add '-18' to each side of the equation. 18 + -18 + 24X = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 24X = -30 + -18 24X = -30 + -18 Combine like terms: -30 + -18 = -48 24X = -48 Divide each side by '24'. X = -2 Simplifying X = -2
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