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Simplifying 7(x + -1) = (x + -5) Reorder the terms: 7(-1 + x) = (x + -5) (-1 * 7 + x * 7) = (x + -5) (-7 + 7x) = (x + -5) Reorder the terms: -7 + 7x = (-5 + x) Remove parenthesis around (-5 + x) -7 + 7x = -5 + x Solving -7 + 7x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 7x + -1x = -5 + x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = -5 + x + -1x Combine like terms: x + -1x = 0 -7 + 6x = -5 + 0 -7 + 6x = -5 Add '7' to each side of the equation. -7 + 7 + 6x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -5 + 7 6x = -5 + 7 Combine like terms: -5 + 7 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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