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