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Simplifying 20x + -1(5x + 9) + (7 + -9x) = 10 Reorder the terms: 20x + -1(9 + 5x) + (7 + -9x) = 10 20x + (9 * -1 + 5x * -1) + (7 + -9x) = 10 20x + (-9 + -5x) + (7 + -9x) = 10 Remove parenthesis around (7 + -9x) 20x + -9 + -5x + 7 + -9x = 10 Reorder the terms: -9 + 7 + 20x + -5x + -9x = 10 Combine like terms: -9 + 7 = -2 -2 + 20x + -5x + -9x = 10 Combine like terms: 20x + -5x = 15x -2 + 15x + -9x = 10 Combine like terms: 15x + -9x = 6x -2 + 6x = 10 Solving -2 + 6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 10 + 2 6x = 10 + 2 Combine like terms: 10 + 2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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