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Simplifying -1(1 + 7x) + -5(-7 + -1x) = 36 (1 * -1 + 7x * -1) + -5(-7 + -1x) = 36 (-1 + -7x) + -5(-7 + -1x) = 36 -1 + -7x + (-7 * -5 + -1x * -5) = 36 -1 + -7x + (35 + 5x) = 36 Reorder the terms: -1 + 35 + -7x + 5x = 36 Combine like terms: -1 + 35 = 34 34 + -7x + 5x = 36 Combine like terms: -7x + 5x = -2x 34 + -2x = 36 Solving 34 + -2x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -2x = 36 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = 36 + -34 -2x = 36 + -34 Combine like terms: 36 + -34 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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