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