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Simplifying -4z + -1(x + -6) = 7 Reorder the terms: -4z + -1(-6 + x) = 7 -4z + (-6 * -1 + x * -1) = 7 -4z + (6 + -1x) = 7 Reorder the terms: 6 + -1x + -4z = 7 Solving 6 + -1x + -4z = 7 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 + -1x + -6 + -4z = 7 + -6 Reorder the terms: 6 + -6 + -1x + -4z = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1x + -4z = 7 + -6 -1x + -4z = 7 + -6 Combine like terms: 7 + -6 = 1 -1x + -4z = 1 Add '4z' to each side of the equation. -1x + -4z + 4z = 1 + 4z Combine like terms: -4z + 4z = 0 -1x + 0 = 1 + 4z -1x = 1 + 4z Divide each side by '-1'. x = -1 + -4z Simplifying x = -1 + -4z
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