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Simplifying 2(2x + 3) = 3(4x + 8) Reorder the terms: 2(3 + 2x) = 3(4x + 8) (3 * 2 + 2x * 2) = 3(4x + 8) (6 + 4x) = 3(4x + 8) Reorder the terms: 6 + 4x = 3(8 + 4x) 6 + 4x = (8 * 3 + 4x * 3) 6 + 4x = (24 + 12x) Solving 6 + 4x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 4x + -12x = 24 + 12x + -12x Combine like terms: 4x + -12x = -8x 6 + -8x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -8x = 24 + 0 6 + -8x = 24 Add '-6' to each side of the equation. 6 + -6 + -8x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 24 + -6 -8x = 24 + -6 Combine like terms: 24 + -6 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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