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Simplifying -6x + -32 + -7x + -2 = -89 + -2x Reorder the terms: -32 + -2 + -6x + -7x = -89 + -2x Combine like terms: -32 + -2 = -34 -34 + -6x + -7x = -89 + -2x Combine like terms: -6x + -7x = -13x -34 + -13x = -89 + -2x Solving -34 + -13x = -89 + -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 + -13x + 2x = -89 + -2x + 2x Combine like terms: -13x + 2x = -11x -34 + -11x = -89 + -2x + 2x Combine like terms: -2x + 2x = 0 -34 + -11x = -89 + 0 -34 + -11x = -89 Add '34' to each side of the equation. -34 + 34 + -11x = -89 + 34 Combine like terms: -34 + 34 = 0 0 + -11x = -89 + 34 -11x = -89 + 34 Combine like terms: -89 + 34 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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