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Simplifying -6(-7 + -1x) + -1(1 + 7x) = 36 (-7 * -6 + -1x * -6) + -1(1 + 7x) = 36 (42 + 6x) + -1(1 + 7x) = 36 42 + 6x + (1 * -1 + 7x * -1) = 36 42 + 6x + (-1 + -7x) = 36 Reorder the terms: 42 + -1 + 6x + -7x = 36 Combine like terms: 42 + -1 = 41 41 + 6x + -7x = 36 Combine like terms: 6x + -7x = -1x 41 + -1x = 36 Solving 41 + -1x = 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 + -41 + -1x = 36 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 36 + -41 -1x = 36 + -41 Combine like terms: 36 + -41 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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