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Simplifying 2(x + -1) + 5(x + 9) = 0 Reorder the terms: 2(-1 + x) + 5(x + 9) = 0 (-1 * 2 + x * 2) + 5(x + 9) = 0 (-2 + 2x) + 5(x + 9) = 0 Reorder the terms: -2 + 2x + 5(9 + x) = 0 -2 + 2x + (9 * 5 + x * 5) = 0 -2 + 2x + (45 + 5x) = 0 Reorder the terms: -2 + 45 + 2x + 5x = 0 Combine like terms: -2 + 45 = 43 43 + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x 43 + 7x = 0 Solving 43 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 7x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = 0 + -43 7x = 0 + -43 Combine like terms: 0 + -43 = -43 7x = -43 Divide each side by '7'. x = -6.142857143 Simplifying x = -6.142857143
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