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Simplifying 13 + -1(3x + 2) = 5x + 9 Reorder the terms: 13 + -1(2 + 3x) = 5x + 9 13 + (2 * -1 + 3x * -1) = 5x + 9 13 + (-2 + -3x) = 5x + 9 Combine like terms: 13 + -2 = 11 11 + -3x = 5x + 9 Reorder the terms: 11 + -3x = 9 + 5x Solving 11 + -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. 11 + -3x + -5x = 9 + 5x + -5x Combine like terms: -3x + -5x = -8x 11 + -8x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -8x = 9 + 0 11 + -8x = 9 Add '-11' to each side of the equation. 11 + -11 + -8x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 9 + -11 -8x = 9 + -11 Combine like terms: 9 + -11 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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