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Simplifying 3(6z + x) + 11z + -8x = 0 Reorder the terms: 3(x + 6z) + 11z + -8x = 0 (x * 3 + 6z * 3) + 11z + -8x = 0 (3x + 18z) + 11z + -8x = 0 Reorder the terms: 3x + -8x + 18z + 11z = 0 Combine like terms: 3x + -8x = -5x -5x + 18z + 11z = 0 Combine like terms: 18z + 11z = 29z -5x + 29z = 0 Solving -5x + 29z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29z' to each side of the equation. -5x + 29z + -29z = 0 + -29z Combine like terms: 29z + -29z = 0 -5x + 0 = 0 + -29z -5x = 0 + -29z Remove the zero: -5x = -29z Divide each side by '-5'. x = 5.8z Simplifying x = 5.8z
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