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Simplifying (-2x + 3y + -4z) + (6x + -8y + 5z) = 0 Remove parenthesis around (-2x + 3y + -4z) -2x + 3y + -4z + (6x + -8y + 5z) = 0 Remove parenthesis around (6x + -8y + 5z) -2x + 3y + -4z + 6x + -8y + 5z = 0 Reorder the terms: -2x + 6x + 3y + -8y + -4z + 5z = 0 Combine like terms: -2x + 6x = 4x 4x + 3y + -8y + -4z + 5z = 0 Combine like terms: 3y + -8y = -5y 4x + -5y + -4z + 5z = 0 Combine like terms: -4z + 5z = 1z 4x + -5y + 1z = 0 Solving 4x + -5y + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 4x + -5y + 5y + 1z = 0 + 5y Combine like terms: -5y + 5y = 0 4x + 0 + 1z = 0 + 5y 4x + 1z = 0 + 5y Remove the zero: 4x + 1z = 5y Add '-1z' to each side of the equation. 4x + 1z + -1z = 5y + -1z Combine like terms: 1z + -1z = 0 4x + 0 = 5y + -1z 4x = 5y + -1z Divide each side by '4'. x = 1.25y + -0.25z Simplifying x = 1.25y + -0.25z
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