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Simplifying 4(8x + 6) = 5(6x + 8) Reorder the terms: 4(6 + 8x) = 5(6x + 8) (6 * 4 + 8x * 4) = 5(6x + 8) (24 + 32x) = 5(6x + 8) Reorder the terms: 24 + 32x = 5(8 + 6x) 24 + 32x = (8 * 5 + 6x * 5) 24 + 32x = (40 + 30x) Solving 24 + 32x = 40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 24 + 32x + -30x = 40 + 30x + -30x Combine like terms: 32x + -30x = 2x 24 + 2x = 40 + 30x + -30x Combine like terms: 30x + -30x = 0 24 + 2x = 40 + 0 24 + 2x = 40 Add '-24' to each side of the equation. 24 + -24 + 2x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 40 + -24 2x = 40 + -24 Combine like terms: 40 + -24 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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