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Simplifying (6x + 13y + -10z) + (14x + -11y + 12z) = 0 Remove parenthesis around (6x + 13y + -10z) 6x + 13y + -10z + (14x + -11y + 12z) = 0 Remove parenthesis around (14x + -11y + 12z) 6x + 13y + -10z + 14x + -11y + 12z = 0 Reorder the terms: 6x + 14x + 13y + -11y + -10z + 12z = 0 Combine like terms: 6x + 14x = 20x 20x + 13y + -11y + -10z + 12z = 0 Combine like terms: 13y + -11y = 2y 20x + 2y + -10z + 12z = 0 Combine like terms: -10z + 12z = 2z 20x + 2y + 2z = 0 Solving 20x + 2y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 20x + 2y + -2y + 2z = 0 + -2y Combine like terms: 2y + -2y = 0 20x + 0 + 2z = 0 + -2y 20x + 2z = 0 + -2y Remove the zero: 20x + 2z = -2y Add '-2z' to each side of the equation. 20x + 2z + -2z = -2y + -2z Combine like terms: 2z + -2z = 0 20x + 0 = -2y + -2z 20x = -2y + -2z Divide each side by '20'. x = -0.1y + -0.1z Simplifying x = -0.1y + -0.1z
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