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Simplifying (7x + -6y + 4z + -1) + (-3x + 3y + -5z + 3) = 0 Reorder the terms: (-1 + 7x + -6y + 4z) + (-3x + 3y + -5z + 3) = 0 Remove parenthesis around (-1 + 7x + -6y + 4z) -1 + 7x + -6y + 4z + (-3x + 3y + -5z + 3) = 0 Reorder the terms: -1 + 7x + -6y + 4z + (3 + -3x + 3y + -5z) = 0 Remove parenthesis around (3 + -3x + 3y + -5z) -1 + 7x + -6y + 4z + 3 + -3x + 3y + -5z = 0 Reorder the terms: -1 + 3 + 7x + -3x + -6y + 3y + 4z + -5z = 0 Combine like terms: -1 + 3 = 2 2 + 7x + -3x + -6y + 3y + 4z + -5z = 0 Combine like terms: 7x + -3x = 4x 2 + 4x + -6y + 3y + 4z + -5z = 0 Combine like terms: -6y + 3y = -3y 2 + 4x + -3y + 4z + -5z = 0 Combine like terms: 4z + -5z = -1z 2 + 4x + -3y + -1z = 0 Solving 2 + 4x + -3y + -1z = 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 + 4x + -3y + -2 + -1z = 0 + -2 Reorder the terms: 2 + -2 + 4x + -3y + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + -3y + -1z = 0 + -2 4x + -3y + -1z = 0 + -2 Combine like terms: 0 + -2 = -2 4x + -3y + -1z = -2 Add '3y' to each side of the equation. 4x + -3y + 3y + -1z = -2 + 3y Combine like terms: -3y + 3y = 0 4x + 0 + -1z = -2 + 3y 4x + -1z = -2 + 3y Add 'z' to each side of the equation. 4x + -1z + z = -2 + 3y + z Combine like terms: -1z + z = 0 4x + 0 = -2 + 3y + z 4x = -2 + 3y + z Divide each side by '4'. x = -0.5 + 0.75y + 0.25z Simplifying x = -0.5 + 0.75y + 0.25z
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