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Simplifying (9z + 8x + 6) + -1(12z + -10x + 2) = 0 Reorder the terms: (6 + 8x + 9z) + -1(12z + -10x + 2) = 0 Remove parenthesis around (6 + 8x + 9z) 6 + 8x + 9z + -1(12z + -10x + 2) = 0 Reorder the terms: 6 + 8x + 9z + -1(2 + -10x + 12z) = 0 6 + 8x + 9z + (2 * -1 + -10x * -1 + 12z * -1) = 0 6 + 8x + 9z + (-2 + 10x + -12z) = 0 Reorder the terms: 6 + -2 + 8x + 10x + 9z + -12z = 0 Combine like terms: 6 + -2 = 4 4 + 8x + 10x + 9z + -12z = 0 Combine like terms: 8x + 10x = 18x 4 + 18x + 9z + -12z = 0 Combine like terms: 9z + -12z = -3z 4 + 18x + -3z = 0 Solving 4 + 18x + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 18x + -4 + -3z = 0 + -4 Reorder the terms: 4 + -4 + 18x + -3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 18x + -3z = 0 + -4 18x + -3z = 0 + -4 Combine like terms: 0 + -4 = -4 18x + -3z = -4 Add '3z' to each side of the equation. 18x + -3z + 3z = -4 + 3z Combine like terms: -3z + 3z = 0 18x + 0 = -4 + 3z 18x = -4 + 3z Divide each side by '18'. x = -0.2222222222 + 0.1666666667z Simplifying x = -0.2222222222 + 0.1666666667z
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