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Simplifying 82 + -3x = 10x + 17 Reorder the terms: 82 + -3x = 17 + 10x Solving 82 + -3x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 82 + -3x + -10x = 17 + 10x + -10x Combine like terms: -3x + -10x = -13x 82 + -13x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -13x = 17 + 0 82 + -13x = 17 Add '-82' to each side of the equation. 82 + -82 + -13x = 17 + -82 Combine like terms: 82 + -82 = 0 0 + -13x = 17 + -82 -13x = 17 + -82 Combine like terms: 17 + -82 = -65 -13x = -65 Divide each side by '-13'. x = 5 Simplifying x = 5
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