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Simplifying 6(2x + -3) = 2(2x + 3) Reorder the terms: 6(-3 + 2x) = 2(2x + 3) (-3 * 6 + 2x * 6) = 2(2x + 3) (-18 + 12x) = 2(2x + 3) Reorder the terms: -18 + 12x = 2(3 + 2x) -18 + 12x = (3 * 2 + 2x * 2) -18 + 12x = (6 + 4x) Solving -18 + 12x = 6 + 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. -18 + 12x + -4x = 6 + 4x + -4x Combine like terms: 12x + -4x = 8x -18 + 8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 8x = 6 + 0 -18 + 8x = 6 Add '18' to each side of the equation. -18 + 18 + 8x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 6 + 18 8x = 6 + 18 Combine like terms: 6 + 18 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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