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Simplifying 5 + -1(3x + 2) = 2x + 13 Reorder the terms: 5 + -1(2 + 3x) = 2x + 13 5 + (2 * -1 + 3x * -1) = 2x + 13 5 + (-2 + -3x) = 2x + 13 Combine like terms: 5 + -2 = 3 3 + -3x = 2x + 13 Reorder the terms: 3 + -3x = 13 + 2x Solving 3 + -3x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + -3x + -2x = 13 + 2x + -2x Combine like terms: -3x + -2x = -5x 3 + -5x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -5x = 13 + 0 3 + -5x = 13 Add '-3' to each side of the equation. 3 + -3 + -5x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 13 + -3 -5x = 13 + -3 Combine like terms: 13 + -3 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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