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Simplifying 3 + 7x = 2x + -47 Reorder the terms: 3 + 7x = -47 + 2x Solving 3 + 7x = -47 + 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. 3 + 7x + -2x = -47 + 2x + -2x Combine like terms: 7x + -2x = 5x 3 + 5x = -47 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 5x = -47 + 0 3 + 5x = -47 Add '-3' to each side of the equation. 3 + -3 + 5x = -47 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = -47 + -3 5x = -47 + -3 Combine like terms: -47 + -3 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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