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Simplifying 7x + -1(-10 + 5x) + 17 = 43 7x + (-10 * -1 + 5x * -1) + 17 = 43 7x + (10 + -5x) + 17 = 43 Reorder the terms: 10 + 17 + 7x + -5x = 43 Combine like terms: 10 + 17 = 27 27 + 7x + -5x = 43 Combine like terms: 7x + -5x = 2x 27 + 2x = 43 Solving 27 + 2x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2x = 43 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 43 + -27 2x = 43 + -27 Combine like terms: 43 + -27 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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