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Simplifying 4(7x + 6) = 2(8x + 9) Reorder the terms: 4(6 + 7x) = 2(8x + 9) (6 * 4 + 7x * 4) = 2(8x + 9) (24 + 28x) = 2(8x + 9) Reorder the terms: 24 + 28x = 2(9 + 8x) 24 + 28x = (9 * 2 + 8x * 2) 24 + 28x = (18 + 16x) Solving 24 + 28x = 18 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 28x + -16x = 18 + 16x + -16x Combine like terms: 28x + -16x = 12x 24 + 12x = 18 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + 12x = 18 + 0 24 + 12x = 18 Add '-24' to each side of the equation. 24 + -24 + 12x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 18 + -24 12x = 18 + -24 Combine like terms: 18 + -24 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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