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Simplifying 17 + 10x = 2x + 5 + -4x Reorder the terms: 17 + 10x = 5 + 2x + -4x Combine like terms: 2x + -4x = -2x 17 + 10x = 5 + -2x Solving 17 + 10x = 5 + -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 + 10x + 2x = 5 + -2x + 2x Combine like terms: 10x + 2x = 12x 17 + 12x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 12x = 5 + 0 17 + 12x = 5 Add '-17' to each side of the equation. 17 + -17 + 12x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = 5 + -17 12x = 5 + -17 Combine like terms: 5 + -17 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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