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Simplifying 2x + 1 = -1(5x + 9) Reorder the terms: 1 + 2x = -1(5x + 9) Reorder the terms: 1 + 2x = -1(9 + 5x) 1 + 2x = (9 * -1 + 5x * -1) 1 + 2x = (-9 + -5x) Solving 1 + 2x = -9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + 2x + 5x = -9 + -5x + 5x Combine like terms: 2x + 5x = 7x 1 + 7x = -9 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 7x = -9 + 0 1 + 7x = -9 Add '-1' to each side of the equation. 1 + -1 + 7x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = -9 + -1 7x = -9 + -1 Combine like terms: -9 + -1 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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