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Simplifying 2x + -6(1 + z) = 2(1 + -2z) 2x + (1 * -6 + z * -6) = 2(1 + -2z) 2x + (-6 + -6z) = 2(1 + -2z) Reorder the terms: -6 + 2x + -6z = 2(1 + -2z) -6 + 2x + -6z = (1 * 2 + -2z * 2) -6 + 2x + -6z = (2 + -4z) Solving -6 + 2x + -6z = 2 + -4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 6 + -6z = 2 + 6 + -4z Reorder the terms: -6 + 6 + 2x + -6z = 2 + 6 + -4z Combine like terms: -6 + 6 = 0 0 + 2x + -6z = 2 + 6 + -4z 2x + -6z = 2 + 6 + -4z Combine like terms: 2 + 6 = 8 2x + -6z = 8 + -4z Add '6z' to each side of the equation. 2x + -6z + 6z = 8 + -4z + 6z Combine like terms: -6z + 6z = 0 2x + 0 = 8 + -4z + 6z 2x = 8 + -4z + 6z Combine like terms: -4z + 6z = 2z 2x = 8 + 2z Divide each side by '2'. x = 4 + z Simplifying x = 4 + z
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