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Simplifying 3(4x + -2) + -14 = 2(6 + -2x) Reorder the terms: 3(-2 + 4x) + -14 = 2(6 + -2x) (-2 * 3 + 4x * 3) + -14 = 2(6 + -2x) (-6 + 12x) + -14 = 2(6 + -2x) Reorder the terms: -6 + -14 + 12x = 2(6 + -2x) Combine like terms: -6 + -14 = -20 -20 + 12x = 2(6 + -2x) -20 + 12x = (6 * 2 + -2x * 2) -20 + 12x = (12 + -4x) Solving -20 + 12x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -20 + 12x + 4x = 12 + -4x + 4x Combine like terms: 12x + 4x = 16x -20 + 16x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 16x = 12 + 0 -20 + 16x = 12 Add '20' to each side of the equation. -20 + 20 + 16x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = 12 + 20 16x = 12 + 20 Combine like terms: 12 + 20 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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