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Simplifying -34 + -9x = -7(x + 8) Reorder the terms: -34 + -9x = -7(8 + x) -34 + -9x = (8 * -7 + x * -7) -34 + -9x = (-56 + -7x) Solving -34 + -9x = -56 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -34 + -9x + 7x = -56 + -7x + 7x Combine like terms: -9x + 7x = -2x -34 + -2x = -56 + -7x + 7x Combine like terms: -7x + 7x = 0 -34 + -2x = -56 + 0 -34 + -2x = -56 Add '34' to each side of the equation. -34 + 34 + -2x = -56 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = -56 + 34 -2x = -56 + 34 Combine like terms: -56 + 34 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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