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Simplifying 3x + -7 + 4x = 5x + 23 Reorder the terms: -7 + 3x + 4x = 5x + 23 Combine like terms: 3x + 4x = 7x -7 + 7x = 5x + 23 Reorder the terms: -7 + 7x = 23 + 5x Solving -7 + 7x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 7x + -5x = 23 + 5x + -5x Combine like terms: 7x + -5x = 2x -7 + 2x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 2x = 23 + 0 -7 + 2x = 23 Add '7' to each side of the equation. -7 + 7 + 2x = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 23 + 7 2x = 23 + 7 Combine like terms: 23 + 7 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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