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Simplifying 5x + 17 = 15x + -83 Reorder the terms: 17 + 5x = 15x + -83 Reorder the terms: 17 + 5x = -83 + 15x Solving 17 + 5x = -83 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 17 + 5x + -15x = -83 + 15x + -15x Combine like terms: 5x + -15x = -10x 17 + -10x = -83 + 15x + -15x Combine like terms: 15x + -15x = 0 17 + -10x = -83 + 0 17 + -10x = -83 Add '-17' to each side of the equation. 17 + -17 + -10x = -83 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = -83 + -17 -10x = -83 + -17 Combine like terms: -83 + -17 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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