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Simplifying -4(7x + -3y + -1z) + -1(-6)(9x + -1z + 2) = 0 (7x * -4 + -3y * -4 + -1z * -4) + -1(-6)(9x + -1z + 2) = 0 (-28x + 12y + 4z) + -1(-6)(9x + -1z + 2) = 0 Reorder the terms: -28x + 12y + 4z + -1 * -6(2 + 9x + -1z) = 0 Multiply -1 * -6 -28x + 12y + 4z + 6(2 + 9x + -1z) = 0 -28x + 12y + 4z + (2 * 6 + 9x * 6 + -1z * 6) = 0 -28x + 12y + 4z + (12 + 54x + -6z) = 0 Reorder the terms: 12 + -28x + 54x + 12y + 4z + -6z = 0 Combine like terms: -28x + 54x = 26x 12 + 26x + 12y + 4z + -6z = 0 Combine like terms: 4z + -6z = -2z 12 + 26x + 12y + -2z = 0 Solving 12 + 26x + 12y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 26x + 12y + -12 + -2z = 0 + -12 Reorder the terms: 12 + -12 + 26x + 12y + -2z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 26x + 12y + -2z = 0 + -12 26x + 12y + -2z = 0 + -12 Combine like terms: 0 + -12 = -12 26x + 12y + -2z = -12 Add '-12y' to each side of the equation. 26x + 12y + -12y + -2z = -12 + -12y Combine like terms: 12y + -12y = 0 26x + 0 + -2z = -12 + -12y 26x + -2z = -12 + -12y Add '2z' to each side of the equation. 26x + -2z + 2z = -12 + -12y + 2z Combine like terms: -2z + 2z = 0 26x + 0 = -12 + -12y + 2z 26x = -12 + -12y + 2z Divide each side by '26'. x = -0.4615384615 + -0.4615384615y + 0.07692307692z Simplifying x = -0.4615384615 + -0.4615384615y + 0.07692307692z
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