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Simplifying -7x + 6 + 2x = 14 + x + 9 Reorder the terms: 6 + -7x + 2x = 14 + x + 9 Combine like terms: -7x + 2x = -5x 6 + -5x = 14 + x + 9 Reorder the terms: 6 + -5x = 14 + 9 + x Combine like terms: 14 + 9 = 23 6 + -5x = 23 + x Solving 6 + -5x = 23 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -5x + -1x = 23 + x + -1x Combine like terms: -5x + -1x = -6x 6 + -6x = 23 + x + -1x Combine like terms: x + -1x = 0 6 + -6x = 23 + 0 6 + -6x = 23 Add '-6' to each side of the equation. 6 + -6 + -6x = 23 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 23 + -6 -6x = 23 + -6 Combine like terms: 23 + -6 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333
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