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Simplifying 6z + -2(-1x + 7) = 42 Reorder the terms: 6z + -2(7 + -1x) = 42 6z + (7 * -2 + -1x * -2) = 42 6z + (-14 + 2x) = 42 Reorder the terms: -14 + 2x + 6z = 42 Solving -14 + 2x + 6z = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 2x + 14 + 6z = 42 + 14 Reorder the terms: -14 + 14 + 2x + 6z = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 2x + 6z = 42 + 14 2x + 6z = 42 + 14 Combine like terms: 42 + 14 = 56 2x + 6z = 56 Add '-6z' to each side of the equation. 2x + 6z + -6z = 56 + -6z Combine like terms: 6z + -6z = 0 2x + 0 = 56 + -6z 2x = 56 + -6z Divide each side by '2'. x = 28 + -3z Simplifying x = 28 + -3z
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