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Simplifying 7(2x + 1) + -3(x + -5) = 0 Reorder the terms: 7(1 + 2x) + -3(x + -5) = 0 (1 * 7 + 2x * 7) + -3(x + -5) = 0 (7 + 14x) + -3(x + -5) = 0 Reorder the terms: 7 + 14x + -3(-5 + x) = 0 7 + 14x + (-5 * -3 + x * -3) = 0 7 + 14x + (15 + -3x) = 0 Reorder the terms: 7 + 15 + 14x + -3x = 0 Combine like terms: 7 + 15 = 22 22 + 14x + -3x = 0 Combine like terms: 14x + -3x = 11x 22 + 11x = 0 Solving 22 + 11x = 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 + 11x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 11x = 0 + -22 11x = 0 + -22 Combine like terms: 0 + -22 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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