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Simplifying 2(3x + -2) + -1(x + -3) = 9 Reorder the terms: 2(-2 + 3x) + -1(x + -3) = 9 (-2 * 2 + 3x * 2) + -1(x + -3) = 9 (-4 + 6x) + -1(x + -3) = 9 Reorder the terms: -4 + 6x + -1(-3 + x) = 9 -4 + 6x + (-3 * -1 + x * -1) = 9 -4 + 6x + (3 + -1x) = 9 Reorder the terms: -4 + 3 + 6x + -1x = 9 Combine like terms: -4 + 3 = -1 -1 + 6x + -1x = 9 Combine like terms: 6x + -1x = 5x -1 + 5x = 9 Solving -1 + 5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 9 + 1 5x = 9 + 1 Combine like terms: 9 + 1 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2

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