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Simplifying -52x + 4500 = -8x + 3000 Reorder the terms: 4500 + -52x = -8x + 3000 Reorder the terms: 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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