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Simplifying 9x + 3 + -6 = 3x + 6 + 7 Reorder the terms: 3 + -6 + 9x = 3x + 6 + 7 Combine like terms: 3 + -6 = -3 -3 + 9x = 3x + 6 + 7 Reorder the terms: -3 + 9x = 6 + 7 + 3x Combine like terms: 6 + 7 = 13 -3 + 9x = 13 + 3x Solving -3 + 9x = 13 + 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. -3 + 9x + -3x = 13 + 3x + -3x Combine like terms: 9x + -3x = 6x -3 + 6x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 6x = 13 + 0 -3 + 6x = 13 Add '3' to each side of the equation. -3 + 3 + 6x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 13 + 3 6x = 13 + 3 Combine like terms: 13 + 3 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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