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Simplifying 2(x + -5) + -1(x + 2) = 9 Reorder the terms: 2(-5 + x) + -1(x + 2) = 9 (-5 * 2 + x * 2) + -1(x + 2) = 9 (-10 + 2x) + -1(x + 2) = 9 Reorder the terms: -10 + 2x + -1(2 + x) = 9 -10 + 2x + (2 * -1 + x * -1) = 9 -10 + 2x + (-2 + -1x) = 9 Reorder the terms: -10 + -2 + 2x + -1x = 9 Combine like terms: -10 + -2 = -12 -12 + 2x + -1x = 9 Combine like terms: 2x + -1x = 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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