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Simplifying 6 + -1x + 7x = 8 + 3x + 9 Combine like terms: -1x + 7x = 6x 6 + 6x = 8 + 3x + 9 Reorder the terms: 6 + 6x = 8 + 9 + 3x Combine like terms: 8 + 9 = 17 6 + 6x = 17 + 3x Solving 6 + 6x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 6x + -3x = 17 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = 17 + 0 6 + 3x = 17 Add '-6' to each side of the equation. 6 + -6 + 3x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 17 + -6 3x = 17 + -6 Combine like terms: 17 + -6 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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