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Simplifying 2(4x + -3) = 3(2x + 6) Reorder the terms: 2(-3 + 4x) = 3(2x + 6) (-3 * 2 + 4x * 2) = 3(2x + 6) (-6 + 8x) = 3(2x + 6) Reorder the terms: -6 + 8x = 3(6 + 2x) -6 + 8x = (6 * 3 + 2x * 3) -6 + 8x = (18 + 6x) Solving -6 + 8x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 8x + -6x = 18 + 6x + -6x Combine like terms: 8x + -6x = 2x -6 + 2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 2x = 18 + 0 -6 + 2x = 18 Add '6' to each side of the equation. -6 + 6 + 2x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 18 + 6 2x = 18 + 6 Combine like terms: 18 + 6 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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