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Simplifying -17 + 5x = 2x + 19 Reorder the terms: -17 + 5x = 19 + 2x Solving -17 + 5x = 19 + 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. -17 + 5x + -2x = 19 + 2x + -2x Combine like terms: 5x + -2x = 3x -17 + 3x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 3x = 19 + 0 -17 + 3x = 19 Add '17' to each side of the equation. -17 + 17 + 3x = 19 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 19 + 17 3x = 19 + 17 Combine like terms: 19 + 17 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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