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Simplifying -1(1 + 7z) + -6(-7 + -1x) = 36 (1 * -1 + 7z * -1) + -6(-7 + -1x) = 36 (-1 + -7z) + -6(-7 + -1x) = 36 -1 + -7z + (-7 * -6 + -1x * -6) = 36 -1 + -7z + (42 + 6x) = 36 Reorder the terms: -1 + 42 + 6x + -7z = 36 Combine like terms: -1 + 42 = 41 41 + 6x + -7z = 36 Solving 41 + 6x + -7z = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + 6x + -41 + -7z = 36 + -41 Reorder the terms: 41 + -41 + 6x + -7z = 36 + -41 Combine like terms: 41 + -41 = 0 0 + 6x + -7z = 36 + -41 6x + -7z = 36 + -41 Combine like terms: 36 + -41 = -5 6x + -7z = -5 Add '7z' to each side of the equation. 6x + -7z + 7z = -5 + 7z Combine like terms: -7z + 7z = 0 6x + 0 = -5 + 7z 6x = -5 + 7z Divide each side by '6'. x = -0.8333333333 + 1.166666667z Simplifying x = -0.8333333333 + 1.166666667z
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