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Simplifying 3(2z + -3) + -2(x + z) = 0 Reorder the terms: 3(-3 + 2z) + -2(x + z) = 0 (-3 * 3 + 2z * 3) + -2(x + z) = 0 (-9 + 6z) + -2(x + z) = 0 -9 + 6z + (x * -2 + z * -2) = 0 -9 + 6z + (-2x + -2z) = 0 Reorder the terms: -9 + -2x + 6z + -2z = 0 Combine like terms: 6z + -2z = 4z -9 + -2x + 4z = 0 Solving -9 + -2x + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -2x + 9 + 4z = 0 + 9 Reorder the terms: -9 + 9 + -2x + 4z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x + 4z = 0 + 9 -2x + 4z = 0 + 9 Combine like terms: 0 + 9 = 9 -2x + 4z = 9 Add '-4z' to each side of the equation. -2x + 4z + -4z = 9 + -4z Combine like terms: 4z + -4z = 0 -2x + 0 = 9 + -4z -2x = 9 + -4z Divide each side by '-2'. x = -4.5 + 2z Simplifying x = -4.5 + 2z
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