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Simplifying -1(1 + 7x) + -1(-7 + -1x) = 36 (1 * -1 + 7x * -1) + -1(-7 + -1x) = 36 (-1 + -7x) + -1(-7 + -1x) = 36 -1 + -7x + (-7 * -1 + -1x * -1) = 36 -1 + -7x + (7 + 1x) = 36 Reorder the terms: -1 + 7 + -7x + 1x = 36 Combine like terms: -1 + 7 = 6 6 + -7x + 1x = 36 Combine like terms: -7x + 1x = -6x 6 + -6x = 36 Solving 6 + -6x = 36 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 + -6 + -6x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 36 + -6 -6x = 36 + -6 Combine like terms: 36 + -6 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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