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Simplifying 7x + -2(-4x + 17) = 41 Reorder the terms: 7x + -2(17 + -4x) = 41 7x + (17 * -2 + -4x * -2) = 41 7x + (-34 + 8x) = 41 Reorder the terms: -34 + 7x + 8x = 41 Combine like terms: 7x + 8x = 15x -34 + 15x = 41 Solving -34 + 15x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 15x = 41 + 34 Combine like terms: -34 + 34 = 0 0 + 15x = 41 + 34 15x = 41 + 34 Combine like terms: 41 + 34 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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