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Simplifying 3x + -2(1 + -4x) = 75 3x + (1 * -2 + -4x * -2) = 75 3x + (-2 + 8x) = 75 Reorder the terms: -2 + 3x + 8x = 75 Combine like terms: 3x + 8x = 11x -2 + 11x = 75 Solving -2 + 11x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11x = 75 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 75 + 2 11x = 75 + 2 Combine like terms: 75 + 2 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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