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Simplifying 9x + -34 = -2(x + 6) Reorder the terms: -34 + 9x = -2(x + 6) Reorder the terms: -34 + 9x = -2(6 + x) -34 + 9x = (6 * -2 + x * -2) -34 + 9x = (-12 + -2x) Solving -34 + 9x = -12 + -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 = -12 + -2x + 2x Combine like terms: 9x + 2x = 11x -34 + 11x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -34 + 11x = -12 + 0 -34 + 11x = -12 Add '34' to each side of the equation. -34 + 34 + 11x = -12 + 34 Combine like terms: -34 + 34 = 0 0 + 11x = -12 + 34 11x = -12 + 34 Combine like terms: -12 + 34 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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