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Simplifying 7(x + 1) + -1(2x + -9) = 7 Reorder the terms: 7(1 + x) + -1(2x + -9) = 7 (1 * 7 + x * 7) + -1(2x + -9) = 7 (7 + 7x) + -1(2x + -9) = 7 Reorder the terms: 7 + 7x + -1(-9 + 2x) = 7 7 + 7x + (-9 * -1 + 2x * -1) = 7 7 + 7x + (9 + -2x) = 7 Reorder the terms: 7 + 9 + 7x + -2x = 7 Combine like terms: 7 + 9 = 16 16 + 7x + -2x = 7 Combine like terms: 7x + -2x = 5x 16 + 5x = 7 Solving 16 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 7 + -16 5x = 7 + -16 Combine like terms: 7 + -16 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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