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Simplifying 33.48x + 24.35(52) = 27.76(52 + x) Multiply 24.35 * 52 33.48x + 1266.2 = 27.76(52 + x) Reorder the terms: 1266.2 + 33.48x = 27.76(52 + x) 1266.2 + 33.48x = (52 * 27.76 + x * 27.76) 1266.2 + 33.48x = (1443.52 + 27.76x) Solving 1266.2 + 33.48x = 1443.52 + 27.76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27.76x' to each side of the equation. 1266.2 + 33.48x + -27.76x = 1443.52 + 27.76x + -27.76x Combine like terms: 33.48x + -27.76x = 5.72x 1266.2 + 5.72x = 1443.52 + 27.76x + -27.76x Combine like terms: 27.76x + -27.76x = 0.00 1266.2 + 5.72x = 1443.52 + 0.00 1266.2 + 5.72x = 1443.52 Add '-1266.2' to each side of the equation. 1266.2 + -1266.2 + 5.72x = 1443.52 + -1266.2 Combine like terms: 1266.2 + -1266.2 = 0.0 0.0 + 5.72x = 1443.52 + -1266.2 5.72x = 1443.52 + -1266.2 Combine like terms: 1443.52 + -1266.2 = 177.32 5.72x = 177.32 Divide each side by '5.72'. x = 31 Simplifying x = 31
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