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Simplifying 32.5x + 28(2x + -8) = 1280.5 Reorder the terms: 32.5x + 28(-8 + 2x) = 1280.5 32.5x + (-8 * 28 + 2x * 28) = 1280.5 32.5x + (-224 + 56x) = 1280.5 Reorder the terms: -224 + 32.5x + 56x = 1280.5 Combine like terms: 32.5x + 56x = 88.5x -224 + 88.5x = 1280.5 Solving -224 + 88.5x = 1280.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '224' to each side of the equation. -224 + 224 + 88.5x = 1280.5 + 224 Combine like terms: -224 + 224 = 0 0 + 88.5x = 1280.5 + 224 88.5x = 1280.5 + 224 Combine like terms: 1280.5 + 224 = 1504.5 88.5x = 1504.5 Divide each side by '88.5'. x = 17 Simplifying x = 17
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