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Simplifying 4x + -5 + 7 = 35 Reorder the terms: -5 + 7 + 4x = 35 Combine like terms: -5 + 7 = 2 2 + 4x = 35 Solving 2 + 4x = 35 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 + 4x = 35 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 35 + -2 4x = 35 + -2 Combine like terms: 35 + -2 = 33 4x = 33 Divide each side by '4'. x = 8.25 Simplifying x = 8.25

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