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Simplifying 3(4x + -2) = 9 + 2x + 5 Reorder the terms: 3(-2 + 4x) = 9 + 2x + 5 (-2 * 3 + 4x * 3) = 9 + 2x + 5 (-6 + 12x) = 9 + 2x + 5 Reorder the terms: -6 + 12x = 9 + 5 + 2x Combine like terms: 9 + 5 = 14 -6 + 12x = 14 + 2x Solving -6 + 12x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 12x + -2x = 14 + 2x + -2x Combine like terms: 12x + -2x = 10x -6 + 10x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 10x = 14 + 0 -6 + 10x = 14 Add '6' to each side of the equation. -6 + 6 + 10x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 14 + 6 10x = 14 + 6 Combine like terms: 14 + 6 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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