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