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Simplifying 4500 + 52x = 3000 + 8x Solving 4500 + 52x = 3000 + 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. 4500 + 52x + -8x = 3000 + 8x + -8x Combine like terms: 52x + -8x = 44x 4500 + 44x = 3000 + 8x + -8x Combine like terms: 8x + -8x = 0 4500 + 44x = 3000 + 0 4500 + 44x = 3000 Add '-4500' to each side of the equation. 4500 + -4500 + 44x = 3000 + -4500 Combine like terms: 4500 + -4500 = 0 0 + 44x = 3000 + -4500 44x = 3000 + -4500 Combine like terms: 3000 + -4500 = -1500 44x = -1500 Divide each side by '44'. x = -34.09090909 Simplifying x = -34.09090909
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