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