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Simplifying 2x + -3(x + -2) + -1(x + 9) = 8 Reorder the terms: 2x + -3(-2 + x) + -1(x + 9) = 8 2x + (-2 * -3 + x * -3) + -1(x + 9) = 8 2x + (6 + -3x) + -1(x + 9) = 8 Reorder the terms: 2x + 6 + -3x + -1(9 + x) = 8 2x + 6 + -3x + (9 * -1 + x * -1) = 8 2x + 6 + -3x + (-9 + -1x) = 8 Reorder the terms: 6 + -9 + 2x + -3x + -1x = 8 Combine like terms: 6 + -9 = -3 -3 + 2x + -3x + -1x = 8 Combine like terms: 2x + -3x = -1x -3 + -1x + -1x = 8 Combine like terms: -1x + -1x = -2x -3 + -2x = 8 Solving -3 + -2x = 8 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 = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 8 + 3 -2x = 8 + 3 Combine like terms: 8 + 3 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5
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