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Simplifying 3(2x + -1) = 4(x + 3) Reorder the terms: 3(-1 + 2x) = 4(x + 3) (-1 * 3 + 2x * 3) = 4(x + 3) (-3 + 6x) = 4(x + 3) Reorder the terms: -3 + 6x = 4(3 + x) -3 + 6x = (3 * 4 + x * 4) -3 + 6x = (12 + 4x) Solving -3 + 6x = 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. -3 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -3 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 2x = 12 + 0 -3 + 2x = 12 Add '3' to each side of the equation. -3 + 3 + 2x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 12 + 3 2x = 12 + 3 Combine like terms: 12 + 3 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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