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Simplifying 7x + 2 = 52 + -3x Reorder the terms: 2 + 7x = 52 + -3x Solving 2 + 7x = 52 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 7x + 3x = 52 + -3x + 3x Combine like terms: 7x + 3x = 10x 2 + 10x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 10x = 52 + 0 2 + 10x = 52 Add '-2' to each side of the equation. 2 + -2 + 10x = 52 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 52 + -2 10x = 52 + -2 Combine like terms: 52 + -2 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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