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Simplifying 4z + -9 + -1x + 3 = 0 Reorder the terms: -9 + 3 + -1x + 4z = 0 Combine like terms: -9 + 3 = -6 -6 + -1x + 4z = 0 Solving -6 + -1x + 4z = 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 + -1x + 6 + 4z = 0 + 6 Reorder the terms: -6 + 6 + -1x + 4z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x + 4z = 0 + 6 -1x + 4z = 0 + 6 Combine like terms: 0 + 6 = 6 -1x + 4z = 6 Add '-4z' to each side of the equation. -1x + 4z + -4z = 6 + -4z Combine like terms: 4z + -4z = 0 -1x + 0 = 6 + -4z -1x = 6 + -4z Divide each side by '-1'. x = -6 + 4z Simplifying x = -6 + 4z
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