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Simplifying 9x + -1(6x + 7) = 6x + -34 Reorder the terms: 9x + -1(7 + 6x) = 6x + -34 9x + (7 * -1 + 6x * -1) = 6x + -34 9x + (-7 + -6x) = 6x + -34 Reorder the terms: -7 + 9x + -6x = 6x + -34 Combine like terms: 9x + -6x = 3x -7 + 3x = 6x + -34 Reorder the terms: -7 + 3x = -34 + 6x Solving -7 + 3x = -34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 3x + -6x = -34 + 6x + -6x Combine like terms: 3x + -6x = -3x -7 + -3x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -3x = -34 + 0 -7 + -3x = -34 Add '7' to each side of the equation. -7 + 7 + -3x = -34 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -34 + 7 -3x = -34 + 7 Combine like terms: -34 + 7 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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