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Simplifying 9(x + 4) + -7(2 + x) = 13 Reorder the terms: 9(4 + x) + -7(2 + x) = 13 (4 * 9 + x * 9) + -7(2 + x) = 13 (36 + 9x) + -7(2 + x) = 13 36 + 9x + (2 * -7 + x * -7) = 13 36 + 9x + (-14 + -7x) = 13 Reorder the terms: 36 + -14 + 9x + -7x = 13 Combine like terms: 36 + -14 = 22 22 + 9x + -7x = 13 Combine like terms: 9x + -7x = 2x 22 + 2x = 13 Solving 22 + 2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2x = 13 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 13 + -22 2x = 13 + -22 Combine like terms: 13 + -22 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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