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Simplifying 4(5x + 6) = 4(3x + 2) Reorder the terms: 4(6 + 5x) = 4(3x + 2) (6 * 4 + 5x * 4) = 4(3x + 2) (24 + 20x) = 4(3x + 2) Reorder the terms: 24 + 20x = 4(2 + 3x) 24 + 20x = (2 * 4 + 3x * 4) 24 + 20x = (8 + 12x) Solving 24 + 20x = 8 + 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. 24 + 20x + -12x = 8 + 12x + -12x Combine like terms: 20x + -12x = 8x 24 + 8x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + 8x = 8 + 0 24 + 8x = 8 Add '-24' to each side of the equation. 24 + -24 + 8x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 8 + -24 8x = 8 + -24 Combine like terms: 8 + -24 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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