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Simplifying 6(2x + -3) = 4(2x + 3) Reorder the terms: 6(-3 + 2x) = 4(2x + 3) (-3 * 6 + 2x * 6) = 4(2x + 3) (-18 + 12x) = 4(2x + 3) Reorder the terms: -18 + 12x = 4(3 + 2x) -18 + 12x = (3 * 4 + 2x * 4) -18 + 12x = (12 + 8x) Solving -18 + 12x = 12 + 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. -18 + 12x + -8x = 12 + 8x + -8x Combine like terms: 12x + -8x = 4x -18 + 4x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 4x = 12 + 0 -18 + 4x = 12 Add '18' to each side of the equation. -18 + 18 + 4x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 12 + 18 4x = 12 + 18 Combine like terms: 12 + 18 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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