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Simplifying 5(x + 9) + -2(1 + -1x) = 1 Reorder the terms: 5(9 + x) + -2(1 + -1x) = 1 (9 * 5 + x * 5) + -2(1 + -1x) = 1 (45 + 5x) + -2(1 + -1x) = 1 45 + 5x + (1 * -2 + -1x * -2) = 1 45 + 5x + (-2 + 2x) = 1 Reorder the terms: 45 + -2 + 5x + 2x = 1 Combine like terms: 45 + -2 = 43 43 + 5x + 2x = 1 Combine like terms: 5x + 2x = 7x 43 + 7x = 1 Solving 43 + 7x = 1 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 = 1 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = 1 + -43 7x = 1 + -43 Combine like terms: 1 + -43 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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