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Simplifying -9x + -34 = 2(x + 5) Reorder the terms: -34 + -9x = 2(x + 5) Reorder the terms: -34 + -9x = 2(5 + x) -34 + -9x = (5 * 2 + x * 2) -34 + -9x = (10 + 2x) Solving -34 + -9x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -34 + -9x + -2x = 10 + 2x + -2x Combine like terms: -9x + -2x = -11x -34 + -11x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + -11x = 10 + 0 -34 + -11x = 10 Add '34' to each side of the equation. -34 + 34 + -11x = 10 + 34 Combine like terms: -34 + 34 = 0 0 + -11x = 10 + 34 -11x = 10 + 34 Combine like terms: 10 + 34 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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