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Simplifying (5x + -9) + -1(x + -1) = 0 Reorder the terms: (-9 + 5x) + -1(x + -1) = 0 Remove parenthesis around (-9 + 5x) -9 + 5x + -1(x + -1) = 0 Reorder the terms: -9 + 5x + -1(-1 + x) = 0 -9 + 5x + (-1 * -1 + x * -1) = 0 -9 + 5x + (1 + -1x) = 0 Reorder the terms: -9 + 1 + 5x + -1x = 0 Combine like terms: -9 + 1 = -8 -8 + 5x + -1x = 0 Combine like terms: 5x + -1x = 4x -8 + 4x = 0 Solving -8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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