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Simplifying 9(x + -2) + -3(2x + -3) = 12 Reorder the terms: 9(-2 + x) + -3(2x + -3) = 12 (-2 * 9 + x * 9) + -3(2x + -3) = 12 (-18 + 9x) + -3(2x + -3) = 12 Reorder the terms: -18 + 9x + -3(-3 + 2x) = 12 -18 + 9x + (-3 * -3 + 2x * -3) = 12 -18 + 9x + (9 + -6x) = 12 Reorder the terms: -18 + 9 + 9x + -6x = 12 Combine like terms: -18 + 9 = -9 -9 + 9x + -6x = 12 Combine like terms: 9x + -6x = 3x -9 + 3x = 12 Solving -9 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 12 + 9 3x = 12 + 9 Combine like terms: 12 + 9 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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