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Simplifying (7x + -17) = (5x + -12) Reorder the terms: (-17 + 7x) = (5x + -12) Remove parenthesis around (-17 + 7x) -17 + 7x = (5x + -12) Reorder the terms: -17 + 7x = (-12 + 5x) Remove parenthesis around (-12 + 5x) -17 + 7x = -12 + 5x Solving -17 + 7x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -17 + 7x + -5x = -12 + 5x + -5x Combine like terms: 7x + -5x = 2x -17 + 2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 2x = -12 + 0 -17 + 2x = -12 Add '17' to each side of the equation. -17 + 17 + 2x = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -12 + 17 2x = -12 + 17 Combine like terms: -12 + 17 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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