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Simplifying (-1 + 7x) + 5(-7 + x) = 36 Remove parenthesis around (-1 + 7x) -1 + 7x + 5(-7 + x) = 36 -1 + 7x + (-7 * 5 + x * 5) = 36 -1 + 7x + (-35 + 5x) = 36 Reorder the terms: -1 + -35 + 7x + 5x = 36 Combine like terms: -1 + -35 = -36 -36 + 7x + 5x = 36 Combine like terms: 7x + 5x = 12x -36 + 12x = 36 Solving -36 + 12x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 12x = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 36 + 36 12x = 36 + 36 Combine like terms: 36 + 36 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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