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Simplifying (2w + -6w) + (5y + 6y) + (9x + -3X) = 0 Combine like terms: 2w + -6w = -4w (-4w) + (5y + 6y) + (9x + -3X) = 0 (-4w) + (5y + 6y) + (9x + -3X) = 0 Combine like terms: 5y + 6y = 11y (-4w) + (11y) + (9x + -3X) = 0 (-4w) + (11y) + (9x + -3X) = 0 Reorder the terms: (-4w) + (11y) + (-3X + 9x) = 0 Remove parenthesis around (-3X + 9x) (-4w) + (11y) + -3X + 9x = 0 Reorder the terms: -3X + (-4w) + 9x + (11y) = 0 Solving -3X + (-4w) + 9x + (11y) = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '(4w)' to each side of the equation. -3X + (-4w) + 9x + (4w) + (11y) = 0 + (4w) Reorder the terms: -3X + (-4w) + (4w) + 9x + (11y) = 0 + (4w) Combine like terms: (-4w) + (4w) = 0 -3X + 0 + 9x + (11y) = 0 + (4w) -3X + 9x + (11y) = 0 + (4w) Remove the zero: -3X + 9x + (11y) = (4w) Add '-9x' to each side of the equation. -3X + 9x + -9x + (11y) = (4w) + -9x Combine like terms: 9x + -9x = 0 -3X + 0 + (11y) = (4w) + -9x -3X + (11y) = (4w) + -9x Add '(-11y)' to each side of the equation. -3X + (11y) + (-11y) = (4w) + -9x + (-11y) Combine like terms: (11y) + (-11y) = 0 -3X + 0 = (4w) + -9x + (-11y) -3X = (4w) + -9x + (-11y) Divide each side by '-3'. X = (-1.333333333w) + 3x + (3.666666667y) Simplifying X = (-1.333333333w) + 3x + (3.666666667y)
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