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Simplifying (4w + -6 + 2x) + -1(-3X + 8) = 0 Reorder the terms: (-6 + 4w + 2x) + -1(-3X + 8) = 0 Remove parenthesis around (-6 + 4w + 2x) -6 + 4w + 2x + -1(-3X + 8) = 0 Reorder the terms: -6 + 4w + 2x + -1(8 + -3X) = 0 -6 + 4w + 2x + (8 * -1 + -3X * -1) = 0 -6 + 4w + 2x + (-8 + 3X) = 0 Reorder the terms: -6 + -8 + 3X + 4w + 2x = 0 Combine like terms: -6 + -8 = -14 -14 + 3X + 4w + 2x = 0 Solving -14 + 3X + 4w + 2x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 3X + 4w + 14 + 2x = 0 + 14 Reorder the terms: -14 + 14 + 3X + 4w + 2x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3X + 4w + 2x = 0 + 14 3X + 4w + 2x = 0 + 14 Combine like terms: 0 + 14 = 14 3X + 4w + 2x = 14 Add '-4w' to each side of the equation. 3X + 4w + -4w + 2x = 14 + -4w Combine like terms: 4w + -4w = 0 3X + 0 + 2x = 14 + -4w 3X + 2x = 14 + -4w Add '-2x' to each side of the equation. 3X + 2x + -2x = 14 + -4w + -2x Combine like terms: 2x + -2x = 0 3X + 0 = 14 + -4w + -2x 3X = 14 + -4w + -2x Divide each side by '3'. X = 4.666666667 + -1.333333333w + -0.6666666667x Simplifying X = 4.666666667 + -1.333333333w + -0.6666666667x
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