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Simplifying 9x + 2x + -17 + 3 = 8x + -2x + 7 + -1 Reorder the terms: -17 + 3 + 9x + 2x = 8x + -2x + 7 + -1 Combine like terms: -17 + 3 = -14 -14 + 9x + 2x = 8x + -2x + 7 + -1 Combine like terms: 9x + 2x = 11x -14 + 11x = 8x + -2x + 7 + -1 Reorder the terms: -14 + 11x = 7 + -1 + 8x + -2x Combine like terms: 7 + -1 = 6 -14 + 11x = 6 + 8x + -2x Combine like terms: 8x + -2x = 6x -14 + 11x = 6 + 6x Solving -14 + 11x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 11x + -6x = 6 + 6x + -6x Combine like terms: 11x + -6x = 5x -14 + 5x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 5x = 6 + 0 -14 + 5x = 6 Add '14' to each side of the equation. -14 + 14 + 5x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 6 + 14 5x = 6 + 14 Combine like terms: 6 + 14 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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