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Simplifying 6x + -3x + 9 = 9 + 2(3x + -1) Reorder the terms: 9 + 6x + -3x = 9 + 2(3x + -1) Combine like terms: 6x + -3x = 3x 9 + 3x = 9 + 2(3x + -1) Reorder the terms: 9 + 3x = 9 + 2(-1 + 3x) 9 + 3x = 9 + (-1 * 2 + 3x * 2) 9 + 3x = 9 + (-2 + 6x) Combine like terms: 9 + -2 = 7 9 + 3x = 7 + 6x Solving 9 + 3x = 7 + 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. 9 + 3x + -6x = 7 + 6x + -6x Combine like terms: 3x + -6x = -3x 9 + -3x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -3x = 7 + 0 9 + -3x = 7 Add '-9' to each side of the equation. 9 + -9 + -3x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 7 + -9 -3x = 7 + -9 Combine like terms: 7 + -9 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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