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Simplifying -3(4x + -7) = 3(6 + -2z) Reorder the terms: -3(-7 + 4x) = 3(6 + -2z) (-7 * -3 + 4x * -3) = 3(6 + -2z) (21 + -12x) = 3(6 + -2z) 21 + -12x = (6 * 3 + -2z * 3) 21 + -12x = (18 + -6z) Solving 21 + -12x = 18 + -6z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -12x = 18 + -21 + -6z Combine like terms: 21 + -21 = 0 0 + -12x = 18 + -21 + -6z -12x = 18 + -21 + -6z Combine like terms: 18 + -21 = -3 -12x = -3 + -6z Divide each side by '-12'. x = 0.25 + 0.5z Simplifying x = 0.25 + 0.5z
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