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Simplifying -2x + -7 = 9x + -84 Reorder the terms: -7 + -2x = 9x + -84 Reorder the terms: -7 + -2x = -84 + 9x Solving -7 + -2x = -84 + 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. -7 + -2x + -9x = -84 + 9x + -9x Combine like terms: -2x + -9x = -11x -7 + -11x = -84 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -11x = -84 + 0 -7 + -11x = -84 Add '7' to each side of the equation. -7 + 7 + -11x = -84 + 7 Combine like terms: -7 + 7 = 0 0 + -11x = -84 + 7 -11x = -84 + 7 Combine like terms: -84 + 7 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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