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