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Simplifying 3(2z + -1) + -3(2 + -3x) = 12 Reorder the terms: 3(-1 + 2z) + -3(2 + -3x) = 12 (-1 * 3 + 2z * 3) + -3(2 + -3x) = 12 (-3 + 6z) + -3(2 + -3x) = 12 -3 + 6z + (2 * -3 + -3x * -3) = 12 -3 + 6z + (-6 + 9x) = 12 Reorder the terms: -3 + -6 + 9x + 6z = 12 Combine like terms: -3 + -6 = -9 -9 + 9x + 6z = 12 Solving -9 + 9x + 6z = 12 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 + 9x + 9 + 6z = 12 + 9 Reorder the terms: -9 + 9 + 9x + 6z = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 9x + 6z = 12 + 9 9x + 6z = 12 + 9 Combine like terms: 12 + 9 = 21 9x + 6z = 21 Add '-6z' to each side of the equation. 9x + 6z + -6z = 21 + -6z Combine like terms: 6z + -6z = 0 9x + 0 = 21 + -6z 9x = 21 + -6z Divide each side by '9'. x = 2.333333333 + -0.6666666667z Simplifying x = 2.333333333 + -0.6666666667z
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