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Simplifying 5z + 3(x + -2) = 0 Reorder the terms: 5z + 3(-2 + x) = 0 5z + (-2 * 3 + x * 3) = 0 5z + (-6 + 3x) = 0 Reorder the terms: -6 + 3x + 5z = 0 Solving -6 + 3x + 5z = 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 + 3x + 6 + 5z = 0 + 6 Reorder the terms: -6 + 6 + 3x + 5z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x + 5z = 0 + 6 3x + 5z = 0 + 6 Combine like terms: 0 + 6 = 6 3x + 5z = 6 Add '-5z' to each side of the equation. 3x + 5z + -5z = 6 + -5z Combine like terms: 5z + -5z = 0 3x + 0 = 6 + -5z 3x = 6 + -5z Divide each side by '3'. x = 2 + -1.666666667z Simplifying x = 2 + -1.666666667z
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