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Simplifying 2(x + 4) = 4(z + 2) + -2z Reorder the terms: 2(4 + x) = 4(z + 2) + -2z (4 * 2 + x * 2) = 4(z + 2) + -2z (8 + 2x) = 4(z + 2) + -2z Reorder the terms: 8 + 2x = 4(2 + z) + -2z 8 + 2x = (2 * 4 + z * 4) + -2z 8 + 2x = (8 + 4z) + -2z Combine like terms: 4z + -2z = 2z 8 + 2x = 8 + 2z Add '-8' to each side of the equation. 8 + -8 + 2x = 8 + -8 + 2z Combine like terms: 8 + -8 = 0 0 + 2x = 8 + -8 + 2z 2x = 8 + -8 + 2z Combine like terms: 8 + -8 = 0 2x = 0 + 2z 2x = 2z Solving 2x = 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = z Simplifying x = z
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