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Simplifying (7x + -6y + 4z + -1) + (-3x + 3y + -5x + 3) = 0 Reorder the terms: (-1 + 7x + -6y + 4z) + (-3x + 3y + -5x + 3) = 0 Remove parenthesis around (-1 + 7x + -6y + 4z) -1 + 7x + -6y + 4z + (-3x + 3y + -5x + 3) = 0 Reorder the terms: -1 + 7x + -6y + 4z + (3 + -3x + -5x + 3y) = 0 Combine like terms: -3x + -5x = -8x -1 + 7x + -6y + 4z + (3 + -8x + 3y) = 0 Remove parenthesis around (3 + -8x + 3y) -1 + 7x + -6y + 4z + 3 + -8x + 3y = 0 Reorder the terms: -1 + 3 + 7x + -8x + -6y + 3y + 4z = 0 Combine like terms: -1 + 3 = 2 2 + 7x + -8x + -6y + 3y + 4z = 0 Combine like terms: 7x + -8x = -1x 2 + -1x + -6y + 3y + 4z = 0 Combine like terms: -6y + 3y = -3y 2 + -1x + -3y + 4z = 0 Solving 2 + -1x + -3y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1x + -3y + -2 + 4z = 0 + -2 Reorder the terms: 2 + -2 + -1x + -3y + 4z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + -3y + 4z = 0 + -2 -1x + -3y + 4z = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + -3y + 4z = -2 Add '3y' to each side of the equation. -1x + -3y + 3y + 4z = -2 + 3y Combine like terms: -3y + 3y = 0 -1x + 0 + 4z = -2 + 3y -1x + 4z = -2 + 3y Add '-4z' to each side of the equation. -1x + 4z + -4z = -2 + 3y + -4z Combine like terms: 4z + -4z = 0 -1x + 0 = -2 + 3y + -4z -1x = -2 + 3y + -4z Divide each side by '-1'. x = 2 + -3y + 4z Simplifying x = 2 + -3y + 4z
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