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Simplifying 2 + -1(3x + 1) = -5x + -9 Reorder the terms: 2 + -1(1 + 3x) = -5x + -9 2 + (1 * -1 + 3x * -1) = -5x + -9 2 + (-1 + -3x) = -5x + -9 Combine like terms: 2 + -1 = 1 1 + -3x = -5x + -9 Reorder the terms: 1 + -3x = -9 + -5x Solving 1 + -3x = -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 + -3x + 5x = -9 + -5x + 5x Combine like terms: -3x + 5x = 2x 1 + 2x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 2x = -9 + 0 1 + 2x = -9 Add '-1' to each side of the equation. 1 + -1 + 2x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -9 + -1 2x = -9 + -1 Combine like terms: -9 + -1 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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