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Simplifying 54(10x + 5) = 486x + 378 Reorder the terms: 54(5 + 10x) = 486x + 378 (5 * 54 + 10x * 54) = 486x + 378 (270 + 540x) = 486x + 378 Reorder the terms: 270 + 540x = 378 + 486x Solving 270 + 540x = 378 + 486x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-486x' to each side of the equation. 270 + 540x + -486x = 378 + 486x + -486x Combine like terms: 540x + -486x = 54x 270 + 54x = 378 + 486x + -486x Combine like terms: 486x + -486x = 0 270 + 54x = 378 + 0 270 + 54x = 378 Add '-270' to each side of the equation. 270 + -270 + 54x = 378 + -270 Combine like terms: 270 + -270 = 0 0 + 54x = 378 + -270 54x = 378 + -270 Combine like terms: 378 + -270 = 108 54x = 108 Divide each side by '54'. x = 2 Simplifying x = 2
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