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Simplifying 11x = 8(x + 4.5) Reorder the terms: 11x = 8(4.5 + x) 11x = (4.5 * 8 + x * 8) 11x = (36 + 8x) Solving 11x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11x + -8x = 36 + 8x + -8x Combine like terms: 11x + -8x = 3x 3x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 3x = 36 + 0 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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