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Simplifying (3x + -7) + -1(9x + 1) = 0 Reorder the terms: (-7 + 3x) + -1(9x + 1) = 0 Remove parenthesis around (-7 + 3x) -7 + 3x + -1(9x + 1) = 0 Reorder the terms: -7 + 3x + -1(1 + 9x) = 0 -7 + 3x + (1 * -1 + 9x * -1) = 0 -7 + 3x + (-1 + -9x) = 0 Reorder the terms: -7 + -1 + 3x + -9x = 0 Combine like terms: -7 + -1 = -8 -8 + 3x + -9x = 0 Combine like terms: 3x + -9x = -6x -8 + -6x = 0 Solving -8 + -6x = 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 + -6x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 0 + 8 -6x = 0 + 8 Combine like terms: 0 + 8 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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