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Simplifying 5x + 6x + -6x + 9 = 7x + -2 + 9x Reorder the terms: 9 + 5x + 6x + -6x = 7x + -2 + 9x Combine like terms: 5x + 6x = 11x 9 + 11x + -6x = 7x + -2 + 9x Combine like terms: 11x + -6x = 5x 9 + 5x = 7x + -2 + 9x Reorder the terms: 9 + 5x = -2 + 7x + 9x Combine like terms: 7x + 9x = 16x 9 + 5x = -2 + 16x Solving 9 + 5x = -2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 9 + 5x + -16x = -2 + 16x + -16x Combine like terms: 5x + -16x = -11x 9 + -11x = -2 + 16x + -16x Combine like terms: 16x + -16x = 0 9 + -11x = -2 + 0 9 + -11x = -2 Add '-9' to each side of the equation. 9 + -9 + -11x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = -2 + -9 -11x = -2 + -9 Combine like terms: -2 + -9 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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