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Simplifying (7x + 5) + (x + -7) + -1(2x + 2) = 0 Reorder the terms: (5 + 7x) + (x + -7) + -1(2x + 2) = 0 Remove parenthesis around (5 + 7x) 5 + 7x + (x + -7) + -1(2x + 2) = 0 Reorder the terms: 5 + 7x + (-7 + x) + -1(2x + 2) = 0 Remove parenthesis around (-7 + x) 5 + 7x + -7 + x + -1(2x + 2) = 0 Reorder the terms: 5 + 7x + -7 + x + -1(2 + 2x) = 0 5 + 7x + -7 + x + (2 * -1 + 2x * -1) = 0 5 + 7x + -7 + x + (-2 + -2x) = 0 Reorder the terms: 5 + -7 + -2 + 7x + x + -2x = 0 Combine like terms: 5 + -7 = -2 -2 + -2 + 7x + x + -2x = 0 Combine like terms: -2 + -2 = -4 -4 + 7x + x + -2x = 0 Combine like terms: 7x + x = 8x -4 + 8x + -2x = 0 Combine like terms: 8x + -2x = 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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