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Simplifying 6(7x + 4) + 5x + 8 = 54 Reorder the terms: 6(4 + 7x) + 5x + 8 = 54 (4 * 6 + 7x * 6) + 5x + 8 = 54 (24 + 42x) + 5x + 8 = 54 Reorder the terms: 24 + 8 + 42x + 5x = 54 Combine like terms: 24 + 8 = 32 32 + 42x + 5x = 54 Combine like terms: 42x + 5x = 47x 32 + 47x = 54 Solving 32 + 47x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 47x = 54 + -32 Combine like terms: 32 + -32 = 0 0 + 47x = 54 + -32 47x = 54 + -32 Combine like terms: 54 + -32 = 22 47x = 22 Divide each side by '47'. x = 0.4680851064 Simplifying x = 0.4680851064
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