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Simplifying 2x + 9(5x + -2) = 10 Reorder the terms: 2x + 9(-2 + 5x) = 10 2x + (-2 * 9 + 5x * 9) = 10 2x + (-18 + 45x) = 10 Reorder the terms: -18 + 2x + 45x = 10 Combine like terms: 2x + 45x = 47x -18 + 47x = 10 Solving -18 + 47x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 47x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 47x = 10 + 18 47x = 10 + 18 Combine like terms: 10 + 18 = 28 47x = 28 Divide each side by '47'. x = 0.5957446809 Simplifying x = 0.5957446809
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