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Simplifying 3x + 5 + -8x = 7x + 17 Reorder the terms: 5 + 3x + -8x = 7x + 17 Combine like terms: 3x + -8x = -5x 5 + -5x = 7x + 17 Reorder the terms: 5 + -5x = 17 + 7x Solving 5 + -5x = 17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + -5x + -7x = 17 + 7x + -7x Combine like terms: -5x + -7x = -12x 5 + -12x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -12x = 17 + 0 5 + -12x = 17 Add '-5' to each side of the equation. 5 + -5 + -12x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 17 + -5 -12x = 17 + -5 Combine like terms: 17 + -5 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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