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Simplifying 3x + 1 + 4x + -17 = 5x + 20 Reorder the terms: 1 + -17 + 3x + 4x = 5x + 20 Combine like terms: 1 + -17 = -16 -16 + 3x + 4x = 5x + 20 Combine like terms: 3x + 4x = 7x -16 + 7x = 5x + 20 Reorder the terms: -16 + 7x = 20 + 5x Solving -16 + 7x = 20 + 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. -16 + 7x + -5x = 20 + 5x + -5x Combine like terms: 7x + -5x = 2x -16 + 2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 2x = 20 + 0 -16 + 2x = 20 Add '16' to each side of the equation. -16 + 16 + 2x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 20 + 16 2x = 20 + 16 Combine like terms: 20 + 16 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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