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Simplifying 5x + -9(x + 1) + (5x + -1 + -2) = 9 Reorder the terms: 5x + -9(1 + x) + (5x + -1 + -2) = 9 5x + (1 * -9 + x * -9) + (5x + -1 + -2) = 9 5x + (-9 + -9x) + (5x + -1 + -2) = 9 Reorder the terms: 5x + -9 + -9x + (-1 + -2 + 5x) = 9 Combine like terms: -1 + -2 = -3 5x + -9 + -9x + (-3 + 5x) = 9 Remove parenthesis around (-3 + 5x) 5x + -9 + -9x + -3 + 5x = 9 Reorder the terms: -9 + -3 + 5x + -9x + 5x = 9 Combine like terms: -9 + -3 = -12 -12 + 5x + -9x + 5x = 9 Combine like terms: 5x + -9x = -4x -12 + -4x + 5x = 9 Combine like terms: -4x + 5x = 1x -12 + 1x = 9 Solving -12 + 1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 9 + 12 1x = 9 + 12 Combine like terms: 9 + 12 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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