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Simplifying 3(4x + -2) + 2 + -9x = 2 Reorder the terms: 3(-2 + 4x) + 2 + -9x = 2 (-2 * 3 + 4x * 3) + 2 + -9x = 2 (-6 + 12x) + 2 + -9x = 2 Reorder the terms: -6 + 2 + 12x + -9x = 2 Combine like terms: -6 + 2 = -4 -4 + 12x + -9x = 2 Combine like terms: 12x + -9x = 3x -4 + 3x = 2 Solving -4 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 2 + 4 3x = 2 + 4 Combine like terms: 2 + 4 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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