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Simplifying (5x + 13) + -3(x + -2) = 0 Reorder the terms: (13 + 5x) + -3(x + -2) = 0 Remove parenthesis around (13 + 5x) 13 + 5x + -3(x + -2) = 0 Reorder the terms: 13 + 5x + -3(-2 + x) = 0 13 + 5x + (-2 * -3 + x * -3) = 0 13 + 5x + (6 + -3x) = 0 Reorder the terms: 13 + 6 + 5x + -3x = 0 Combine like terms: 13 + 6 = 19 19 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 19 + 2x = 0 Solving 19 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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