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Simplifying -4(8x + -3y + 9z) + 2(x + -2y + 9) = 0 (8x * -4 + -3y * -4 + 9z * -4) + 2(x + -2y + 9) = 0 (-32x + 12y + -36z) + 2(x + -2y + 9) = 0 Reorder the terms: -32x + 12y + -36z + 2(9 + x + -2y) = 0 -32x + 12y + -36z + (9 * 2 + x * 2 + -2y * 2) = 0 -32x + 12y + -36z + (18 + 2x + -4y) = 0 Reorder the terms: 18 + -32x + 2x + 12y + -4y + -36z = 0 Combine like terms: -32x + 2x = -30x 18 + -30x + 12y + -4y + -36z = 0 Combine like terms: 12y + -4y = 8y 18 + -30x + 8y + -36z = 0 Solving 18 + -30x + 8y + -36z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -30x + 8y + -18 + -36z = 0 + -18 Reorder the terms: 18 + -18 + -30x + 8y + -36z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -30x + 8y + -36z = 0 + -18 -30x + 8y + -36z = 0 + -18 Combine like terms: 0 + -18 = -18 -30x + 8y + -36z = -18 Add '-8y' to each side of the equation. -30x + 8y + -8y + -36z = -18 + -8y Combine like terms: 8y + -8y = 0 -30x + 0 + -36z = -18 + -8y -30x + -36z = -18 + -8y Add '36z' to each side of the equation. -30x + -36z + 36z = -18 + -8y + 36z Combine like terms: -36z + 36z = 0 -30x + 0 = -18 + -8y + 36z -30x = -18 + -8y + 36z Divide each side by '-30'. x = 0.6 + 0.2666666667y + -1.2z Simplifying x = 0.6 + 0.2666666667y + -1.2z
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