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Simplifying 7(x + -1) + -1(x + -5) = (x + -5) Reorder the terms: 7(-1 + x) + -1(x + -5) = (x + -5) (-1 * 7 + x * 7) + -1(x + -5) = (x + -5) (-7 + 7x) + -1(x + -5) = (x + -5) Reorder the terms: -7 + 7x + -1(-5 + x) = (x + -5) -7 + 7x + (-5 * -1 + x * -1) = (x + -5) -7 + 7x + (5 + -1x) = (x + -5) Reorder the terms: -7 + 5 + 7x + -1x = (x + -5) Combine like terms: -7 + 5 = -2 -2 + 7x + -1x = (x + -5) Combine like terms: 7x + -1x = 6x -2 + 6x = (x + -5) Reorder the terms: -2 + 6x = (-5 + x) Remove parenthesis around (-5 + x) -2 + 6x = -5 + x Solving -2 + 6x = -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. -2 + 6x + -1x = -5 + x + -1x Combine like terms: 6x + -1x = 5x -2 + 5x = -5 + x + -1x Combine like terms: x + -1x = 0 -2 + 5x = -5 + 0 -2 + 5x = -5 Add '2' to each side of the equation. -2 + 2 + 5x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -5 + 2 5x = -5 + 2 Combine like terms: -5 + 2 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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