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Simplifying 2 + -1(x + 1) = 9 + -5x Reorder the terms: 2 + -1(1 + x) = 9 + -5x 2 + (1 * -1 + x * -1) = 9 + -5x 2 + (-1 + -1x) = 9 + -5x Combine like terms: 2 + -1 = 1 1 + -1x = 9 + -5x Solving 1 + -1x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + -1x + 5x = 9 + -5x + 5x Combine like terms: -1x + 5x = 4x 1 + 4x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 4x = 9 + 0 1 + 4x = 9 Add '-1' to each side of the equation. 1 + -1 + 4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 9 + -1 4x = 9 + -1 Combine like terms: 9 + -1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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