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Simplifying 7x + -23 = 2x + 47 Reorder the terms: -23 + 7x = 2x + 47 Reorder the terms: -23 + 7x = 47 + 2x Solving -23 + 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. -23 + 7x + -2x = 47 + 2x + -2x Combine like terms: 7x + -2x = 5x -23 + 5x = 47 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 5x = 47 + 0 -23 + 5x = 47 Add '23' to each side of the equation. -23 + 23 + 5x = 47 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 47 + 23 5x = 47 + 23 Combine like terms: 47 + 23 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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