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Simplifying -1(3x + 4) = 6z + -3(3z + -2) Reorder the terms: -1(4 + 3x) = 6z + -3(3z + -2) (4 * -1 + 3x * -1) = 6z + -3(3z + -2) (-4 + -3x) = 6z + -3(3z + -2) Reorder the terms: -4 + -3x = 6z + -3(-2 + 3z) -4 + -3x = 6z + (-2 * -3 + 3z * -3) -4 + -3x = 6z + (6 + -9z) Reorder the terms: -4 + -3x = 6 + 6z + -9z Combine like terms: 6z + -9z = -3z -4 + -3x = 6 + -3z Solving -4 + -3x = 6 + -3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 6 + 4 + -3z Combine like terms: -4 + 4 = 0 0 + -3x = 6 + 4 + -3z -3x = 6 + 4 + -3z Combine like terms: 6 + 4 = 10 -3x = 10 + -3z Divide each side by '-3'. x = -3.333333333 + z Simplifying x = -3.333333333 + z
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