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Simplifying 6(2 + -1x) = 3(x + 2) (2 * 6 + -1x * 6) = 3(x + 2) (12 + -6x) = 3(x + 2) Reorder the terms: 12 + -6x = 3(2 + x) 12 + -6x = (2 * 3 + x * 3) 12 + -6x = (6 + 3x) Solving 12 + -6x = 6 + 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. 12 + -6x + -3x = 6 + 3x + -3x Combine like terms: -6x + -3x = -9x 12 + -9x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -9x = 6 + 0 12 + -9x = 6 Add '-12' to each side of the equation. 12 + -12 + -9x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 6 + -12 -9x = 6 + -12 Combine like terms: 6 + -12 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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