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Simplifying 3(4x + -2) = 9x + 2 Reorder the terms: 3(-2 + 4x) = 9x + 2 (-2 * 3 + 4x * 3) = 9x + 2 (-6 + 12x) = 9x + 2 Reorder the terms: -6 + 12x = 2 + 9x Solving -6 + 12x = 2 + 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. -6 + 12x + -9x = 2 + 9x + -9x Combine like terms: 12x + -9x = 3x -6 + 3x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 3x = 2 + 0 -6 + 3x = 2 Add '6' to each side of the equation. -6 + 6 + 3x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 2 + 6 3x = 2 + 6 Combine like terms: 2 + 6 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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