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Simplifying (7x + 1) + -1 = -6(x + 6) Reorder the terms: (1 + 7x) + -1 = -6(x + 6) Remove parenthesis around (1 + 7x) 1 + 7x + -1 = -6(x + 6) Reorder the terms: 1 + -1 + 7x = -6(x + 6) Combine like terms: 1 + -1 = 0 0 + 7x = -6(x + 6) 7x = -6(x + 6) Reorder the terms: 7x = -6(6 + x) 7x = (6 * -6 + x * -6) 7x = (-36 + -6x) Solving 7x = -36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7x + 6x = -36 + -6x + 6x Combine like terms: 7x + 6x = 13x 13x = -36 + -6x + 6x Combine like terms: -6x + 6x = 0 13x = -36 + 0 13x = -36 Divide each side by '13'. x = -2.769230769 Simplifying x = -2.769230769
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