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Simplifying 7x + 5 = 5 + 2x + 35 Reorder the terms: 5 + 7x = 5 + 2x + 35 Reorder the terms: 5 + 7x = 5 + 35 + 2x Combine like terms: 5 + 35 = 40 5 + 7x = 40 + 2x Solving 5 + 7x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 7x + -2x = 40 + 2x + -2x Combine like terms: 7x + -2x = 5x 5 + 5x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 5x = 40 + 0 5 + 5x = 40 Add '-5' to each side of the equation. 5 + -5 + 5x = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 40 + -5 5x = 40 + -5 Combine like terms: 40 + -5 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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