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Simplifying (5x + -9) + -1(2x + -7) = 0 Reorder the terms: (-9 + 5x) + -1(2x + -7) = 0 Remove parenthesis around (-9 + 5x) -9 + 5x + -1(2x + -7) = 0 Reorder the terms: -9 + 5x + -1(-7 + 2x) = 0 -9 + 5x + (-7 * -1 + 2x * -1) = 0 -9 + 5x + (7 + -2x) = 0 Reorder the terms: -9 + 7 + 5x + -2x = 0 Combine like terms: -9 + 7 = -2 -2 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x -2 + 3x = 0 Solving -2 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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