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Simplifying 8x + 5z + -4x + 3z + 6 = 0 Reorder the terms: 6 + 8x + -4x + 5z + 3z = 0 Combine like terms: 8x + -4x = 4x 6 + 4x + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z 6 + 4x + 8z = 0 Solving 6 + 4x + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4x + -6 + 8z = 0 + -6 Reorder the terms: 6 + -6 + 4x + 8z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4x + 8z = 0 + -6 4x + 8z = 0 + -6 Combine like terms: 0 + -6 = -6 4x + 8z = -6 Add '-8z' to each side of the equation. 4x + 8z + -8z = -6 + -8z Combine like terms: 8z + -8z = 0 4x + 0 = -6 + -8z 4x = -6 + -8z Divide each side by '4'. x = -1.5 + -2z Simplifying x = -1.5 + -2z
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