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Simplifying 3(2x + -1) = 2(4x + 7) Reorder the terms: 3(-1 + 2x) = 2(4x + 7) (-1 * 3 + 2x * 3) = 2(4x + 7) (-3 + 6x) = 2(4x + 7) Reorder the terms: -3 + 6x = 2(7 + 4x) -3 + 6x = (7 * 2 + 4x * 2) -3 + 6x = (14 + 8x) Solving -3 + 6x = 14 + 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. -3 + 6x + -8x = 14 + 8x + -8x Combine like terms: 6x + -8x = -2x -3 + -2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -2x = 14 + 0 -3 + -2x = 14 Add '3' to each side of the equation. -3 + 3 + -2x = 14 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 14 + 3 -2x = 14 + 3 Combine like terms: 14 + 3 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5
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