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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 = -8x 1 + -8x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -8x = -9 + 0 1 + -8x = -9 Add '-1' to each side of the equation. 1 + -1 + -8x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -9 + -1 -8x = -9 + -1 Combine like terms: -9 + -1 = -10 -8x = -10 Divide each side by '-8'. x = 1.25 Simplifying x = 1.25
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