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Simplifying 3x + 2 + 5 + (-5) = 8x + 17 3x + 2 + 5 + -5 = 8x + 17 Reorder the terms: 2 + 5 + -5 + 3x = 8x + 17 Combine like terms: 2 + 5 = 7 7 + -5 + 3x = 8x + 17 Combine like terms: 7 + -5 = 2 2 + 3x = 8x + 17 Reorder the terms: 2 + 3x = 17 + 8x Solving 2 + 3x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 3x + -8x = 17 + 8x + -8x Combine like terms: 3x + -8x = -5x 2 + -5x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -5x = 17 + 0 2 + -5x = 17 Add '-2' to each side of the equation. 2 + -2 + -5x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 17 + -2 -5x = 17 + -2 Combine like terms: 17 + -2 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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