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Simplifying 5(x + 3) + -1(3x + -7) = 0 Reorder the terms: 5(3 + x) + -1(3x + -7) = 0 (3 * 5 + x * 5) + -1(3x + -7) = 0 (15 + 5x) + -1(3x + -7) = 0 Reorder the terms: 15 + 5x + -1(-7 + 3x) = 0 15 + 5x + (-7 * -1 + 3x * -1) = 0 15 + 5x + (7 + -3x) = 0 Reorder the terms: 15 + 7 + 5x + -3x = 0 Combine like terms: 15 + 7 = 22 22 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 22 + 2x = 0 Solving 22 + 2x = 0 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 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 0 + -22 2x = 0 + -22 Combine like terms: 0 + -22 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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