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Simplifying 3(4x + 2) + -14 = 2(3 + -4x) Reorder the terms: 3(2 + 4x) + -14 = 2(3 + -4x) (2 * 3 + 4x * 3) + -14 = 2(3 + -4x) (6 + 12x) + -14 = 2(3 + -4x) Reorder the terms: 6 + -14 + 12x = 2(3 + -4x) Combine like terms: 6 + -14 = -8 -8 + 12x = 2(3 + -4x) -8 + 12x = (3 * 2 + -4x * 2) -8 + 12x = (6 + -8x) Solving -8 + 12x = 6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 12x + 8x = 6 + -8x + 8x Combine like terms: 12x + 8x = 20x -8 + 20x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 20x = 6 + 0 -8 + 20x = 6 Add '8' to each side of the equation. -8 + 8 + 20x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 20x = 6 + 8 20x = 6 + 8 Combine like terms: 6 + 8 = 14 20x = 14 Divide each side by '20'. x = 0.7 Simplifying x = 0.7
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