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Simplifying -7(7x + -7) = 6(x + -1) Reorder the terms: -7(-7 + 7x) = 6(x + -1) (-7 * -7 + 7x * -7) = 6(x + -1) (49 + -49x) = 6(x + -1) Reorder the terms: 49 + -49x = 6(-1 + x) 49 + -49x = (-1 * 6 + x * 6) 49 + -49x = (-6 + 6x) Solving 49 + -49x = -6 + 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. 49 + -49x + -6x = -6 + 6x + -6x Combine like terms: -49x + -6x = -55x 49 + -55x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 49 + -55x = -6 + 0 49 + -55x = -6 Add '-49' to each side of the equation. 49 + -49 + -55x = -6 + -49 Combine like terms: 49 + -49 = 0 0 + -55x = -6 + -49 -55x = -6 + -49 Combine like terms: -6 + -49 = -55 -55x = -55 Divide each side by '-55'. x = 1 Simplifying x = 1
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