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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 = 7 7 + 7x + -5x = 43 Combine like terms: 7x + -5x = 2x 7 + 2x = 43 Solving 7 + 2x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 43 + -7 2x = 43 + -7 Combine like terms: 43 + -7 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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