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Simplifying 6(0.75x + 8) = 54 Reorder the terms: 6(8 + 0.75x) = 54 (8 * 6 + 0.75x * 6) = 54 (48 + 4.5x) = 54 Solving 48 + 4.5x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 4.5x = 54 + -48 Combine like terms: 48 + -48 = 0 0 + 4.5x = 54 + -48 4.5x = 54 + -48 Combine like terms: 54 + -48 = 6 4.5x = 6 Divide each side by '4.5'. x = 1.333333333 Simplifying x = 1.333333333
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