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Simplifying (3x + -1) + -1(-3x + -7) + -9x = 0 Reorder the terms: (-1 + 3x) + -1(-3x + -7) + -9x = 0 Remove parenthesis around (-1 + 3x) -1 + 3x + -1(-3x + -7) + -9x = 0 Reorder the terms: -1 + 3x + -1(-7 + -3x) + -9x = 0 -1 + 3x + (-7 * -1 + -3x * -1) + -9x = 0 -1 + 3x + (7 + 3x) + -9x = 0 Reorder the terms: -1 + 7 + 3x + 3x + -9x = 0 Combine like terms: -1 + 7 = 6 6 + 3x + 3x + -9x = 0 Combine like terms: 3x + 3x = 6x 6 + 6x + -9x = 0 Combine like terms: 6x + -9x = -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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