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Simplifying 3(2x + 3) + (5x + -7) = 13 Reorder the terms: 3(3 + 2x) + (5x + -7) = 13 (3 * 3 + 2x * 3) + (5x + -7) = 13 (9 + 6x) + (5x + -7) = 13 Reorder the terms: 9 + 6x + (-7 + 5x) = 13 Remove parenthesis around (-7 + 5x) 9 + 6x + -7 + 5x = 13 Reorder the terms: 9 + -7 + 6x + 5x = 13 Combine like terms: 9 + -7 = 2 2 + 6x + 5x = 13 Combine like terms: 6x + 5x = 11x 2 + 11x = 13 Solving 2 + 11x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 13 + -2 11x = 13 + -2 Combine like terms: 13 + -2 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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