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Simplifying -5x + -2(3x + -7) = 9x + 34 Reorder the terms: -5x + -2(-7 + 3x) = 9x + 34 -5x + (-7 * -2 + 3x * -2) = 9x + 34 -5x + (14 + -6x) = 9x + 34 Reorder the terms: 14 + -5x + -6x = 9x + 34 Combine like terms: -5x + -6x = -11x 14 + -11x = 9x + 34 Reorder the terms: 14 + -11x = 34 + 9x Solving 14 + -11x = 34 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + -11x + -9x = 34 + 9x + -9x Combine like terms: -11x + -9x = -20x 14 + -20x = 34 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -20x = 34 + 0 14 + -20x = 34 Add '-14' to each side of the equation. 14 + -14 + -20x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + -20x = 34 + -14 -20x = 34 + -14 Combine like terms: 34 + -14 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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