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Simplifying 4(8x + 2) + 5x = 6(5x + 4) Reorder the terms: 4(2 + 8x) + 5x = 6(5x + 4) (2 * 4 + 8x * 4) + 5x = 6(5x + 4) (8 + 32x) + 5x = 6(5x + 4) Combine like terms: 32x + 5x = 37x 8 + 37x = 6(5x + 4) Reorder the terms: 8 + 37x = 6(4 + 5x) 8 + 37x = (4 * 6 + 5x * 6) 8 + 37x = (24 + 30x) Solving 8 + 37x = 24 + 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. 8 + 37x + -30x = 24 + 30x + -30x Combine like terms: 37x + -30x = 7x 8 + 7x = 24 + 30x + -30x Combine like terms: 30x + -30x = 0 8 + 7x = 24 + 0 8 + 7x = 24 Add '-8' to each side of the equation. 8 + -8 + 7x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 24 + -8 7x = 24 + -8 Combine like terms: 24 + -8 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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