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Simplifying (5x + -7) + -1(2x + -1) = 0 Reorder the terms: (-7 + 5x) + -1(2x + -1) = 0 Remove parenthesis around (-7 + 5x) -7 + 5x + -1(2x + -1) = 0 Reorder the terms: -7 + 5x + -1(-1 + 2x) = 0 -7 + 5x + (-1 * -1 + 2x * -1) = 0 -7 + 5x + (1 + -2x) = 0 Reorder the terms: -7 + 1 + 5x + -2x = 0 Combine like terms: -7 + 1 = -6 -6 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x -6 + 3x = 0 Solving -6 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 0 + 6 3x = 0 + 6 Combine like terms: 0 + 6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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