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Simplifying 3(x + -2) + -1(x + -9) = 22 Reorder the terms: 3(-2 + x) + -1(x + -9) = 22 (-2 * 3 + x * 3) + -1(x + -9) = 22 (-6 + 3x) + -1(x + -9) = 22 Reorder the terms: -6 + 3x + -1(-9 + x) = 22 -6 + 3x + (-9 * -1 + x * -1) = 22 -6 + 3x + (9 + -1x) = 22 Reorder the terms: -6 + 9 + 3x + -1x = 22 Combine like terms: -6 + 9 = 3 3 + 3x + -1x = 22 Combine like terms: 3x + -1x = 2x 3 + 2x = 22 Solving 3 + 2x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 22 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 22 + -3 2x = 22 + -3 Combine like terms: 22 + -3 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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