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Simplifying 5x + -7 = 3x + 17 Reorder the terms: -7 + 5x = 3x + 17 Reorder the terms: -7 + 5x = 17 + 3x Solving -7 + 5x = 17 + 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. -7 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = 17 + 0 -7 + 2x = 17 Add '7' to each side of the equation. -7 + 7 + 2x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 17 + 7 2x = 17 + 7 Combine like terms: 17 + 7 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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