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Simplifying 2(3x + 1) = 9x + -6 Reorder the terms: 2(1 + 3x) = 9x + -6 (1 * 2 + 3x * 2) = 9x + -6 (2 + 6x) = 9x + -6 Reorder the terms: 2 + 6x = -6 + 9x Solving 2 + 6x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 6x + -9x = -6 + 9x + -9x Combine like terms: 6x + -9x = -3x 2 + -3x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -3x = -6 + 0 2 + -3x = -6 Add '-2' to each side of the equation. 2 + -2 + -3x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -6 + -2 -3x = -6 + -2 Combine like terms: -6 + -2 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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