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Simplifying 4x + -2 = 75 + -7x Reorder the terms: -2 + 4x = 75 + -7x Solving -2 + 4x = 75 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 4x + 7x = 75 + -7x + 7x Combine like terms: 4x + 7x = 11x -2 + 11x = 75 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 11x = 75 + 0 -2 + 11x = 75 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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