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Simplifying 0.9x + 0.1(x + -560) = 0.8(560) Reorder the terms: 0.9x + 0.1(-560 + x) = 0.8(560) 0.9x + (-560 * 0.1 + x * 0.1) = 0.8(560) 0.9x + (-56 + 0.1x) = 0.8(560) Reorder the terms: -56 + 0.9x + 0.1x = 0.8(560) Combine like terms: 0.9x + 0.1x = 1x -56 + 1x = 0.8(560) Multiply 0.8 * 560 -56 + 1x = 448 Solving -56 + 1x = 448 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 1x = 448 + 56 Combine like terms: -56 + 56 = 0 0 + 1x = 448 + 56 1x = 448 + 56 Combine like terms: 448 + 56 = 504 1x = 504 Divide each side by '1'. x = 504 Simplifying x = 504
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