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Simplifying 7(2x + 1) + -5(x + -3) = 0 Reorder the terms: 7(1 + 2x) + -5(x + -3) = 0 (1 * 7 + 2x * 7) + -5(x + -3) = 0 (7 + 14x) + -5(x + -3) = 0 Reorder the terms: 7 + 14x + -5(-3 + x) = 0 7 + 14x + (-3 * -5 + x * -5) = 0 7 + 14x + (15 + -5x) = 0 Reorder the terms: 7 + 15 + 14x + -5x = 0 Combine like terms: 7 + 15 = 22 22 + 14x + -5x = 0 Combine like terms: 14x + -5x = 9x 22 + 9x = 0 Solving 22 + 9x = 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 + 9x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9x = 0 + -22 9x = 0 + -22 Combine like terms: 0 + -22 = -22 9x = -22 Divide each side by '9'. x = -2.444444444 Simplifying x = -2.444444444
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