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Simplifying 3x + -7 = 17 + -2x + 6 Reorder the terms: -7 + 3x = 17 + -2x + 6 Reorder the terms: -7 + 3x = 17 + 6 + -2x Combine like terms: 17 + 6 = 23 -7 + 3x = 23 + -2x Solving -7 + 3x = 23 + -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. -7 + 3x + 2x = 23 + -2x + 2x Combine like terms: 3x + 2x = 5x -7 + 5x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 5x = 23 + 0 -7 + 5x = 23 Add '7' to each side of the equation. -7 + 7 + 5x = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 23 + 7 5x = 23 + 7 Combine like terms: 23 + 7 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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