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Simplifying 0.75x + -0.25(10 + -1x) = 0.89(10) 0.75x + (10 * -0.25 + -1x * -0.25) = 0.89(10) 0.75x + (-2.5 + 0.25x) = 0.89(10) Reorder the terms: -2.5 + 0.75x + 0.25x = 0.89(10) Combine like terms: 0.75x + 0.25x = 1x -2.5 + 1x = 0.89(10) Multiply 0.89 * 10 -2.5 + 1x = 8.9 Solving -2.5 + 1x = 8.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 1x = 8.9 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 1x = 8.9 + 2.5 1x = 8.9 + 2.5 Combine like terms: 8.9 + 2.5 = 11.4 1x = 11.4 Divide each side by '1'. x = 11.4 Simplifying x = 11.4
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