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Simplifying 3(2x + -4) = 5(z + 2) Reorder the terms: 3(-4 + 2x) = 5(z + 2) (-4 * 3 + 2x * 3) = 5(z + 2) (-12 + 6x) = 5(z + 2) Reorder the terms: -12 + 6x = 5(2 + z) -12 + 6x = (2 * 5 + z * 5) -12 + 6x = (10 + 5z) Solving -12 + 6x = 10 + 5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6x = 10 + 12 + 5z Combine like terms: -12 + 12 = 0 0 + 6x = 10 + 12 + 5z 6x = 10 + 12 + 5z Combine like terms: 10 + 12 = 22 6x = 22 + 5z Divide each side by '6'. x = 3.666666667 + 0.8333333333z Simplifying x = 3.666666667 + 0.8333333333z
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