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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 = -1x -1x = -36 + -6x + 6x Combine like terms: -6x + 6x = 0 -1x = -36 + 0 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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