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Simplifying 2(3x + -1) = 4(3 + -2x) Reorder the terms: 2(-1 + 3x) = 4(3 + -2x) (-1 * 2 + 3x * 2) = 4(3 + -2x) (-2 + 6x) = 4(3 + -2x) -2 + 6x = (3 * 4 + -2x * 4) -2 + 6x = (12 + -8x) Solving -2 + 6x = 12 + -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. -2 + 6x + 8x = 12 + -8x + 8x Combine like terms: 6x + 8x = 14x -2 + 14x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 14x = 12 + 0 -2 + 14x = 12 Add '2' to each side of the equation. -2 + 2 + 14x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 12 + 2 14x = 12 + 2 Combine like terms: 12 + 2 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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