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Simplifying (7x + -5) + -1(x + -1) = 0 Reorder the terms: (-5 + 7x) + -1(x + -1) = 0 Remove parenthesis around (-5 + 7x) -5 + 7x + -1(x + -1) = 0 Reorder the terms: -5 + 7x + -1(-1 + x) = 0 -5 + 7x + (-1 * -1 + x * -1) = 0 -5 + 7x + (1 + -1x) = 0 Reorder the terms: -5 + 1 + 7x + -1x = 0 Combine like terms: -5 + 1 = -4 -4 + 7x + -1x = 0 Combine like terms: 7x + -1x = 6x -4 + 6x = 0 Solving -4 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 0 + 4 6x = 0 + 4 Combine like terms: 0 + 4 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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