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Simplifying 2(x + 6) = 2(z + -7) Reorder the terms: 2(6 + x) = 2(z + -7) (6 * 2 + x * 2) = 2(z + -7) (12 + 2x) = 2(z + -7) Reorder the terms: 12 + 2x = 2(-7 + z) 12 + 2x = (-7 * 2 + z * 2) 12 + 2x = (-14 + 2z) Solving 12 + 2x = -14 + 2z 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 + 2x = -14 + -12 + 2z Combine like terms: 12 + -12 = 0 0 + 2x = -14 + -12 + 2z 2x = -14 + -12 + 2z Combine like terms: -14 + -12 = -26 2x = -26 + 2z Divide each side by '2'. x = -13 + z Simplifying x = -13 + z
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