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Simplifying 3(2x + -1) = 2(x + 4) Reorder the terms: 3(-1 + 2x) = 2(x + 4) (-1 * 3 + 2x * 3) = 2(x + 4) (-3 + 6x) = 2(x + 4) Reorder the terms: -3 + 6x = 2(4 + x) -3 + 6x = (4 * 2 + x * 2) -3 + 6x = (8 + 2x) Solving -3 + 6x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 6x + -2x = 8 + 2x + -2x Combine like terms: 6x + -2x = 4x -3 + 4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 4x = 8 + 0 -3 + 4x = 8 Add '3' to each side of the equation. -3 + 3 + 4x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 8 + 3 4x = 8 + 3 Combine like terms: 8 + 3 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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