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Simplifying (4x + -17) = (15 + -12x) Reorder the terms: (-17 + 4x) = (15 + -12x) Remove parenthesis around (-17 + 4x) -17 + 4x = (15 + -12x) Remove parenthesis around (15 + -12x) -17 + 4x = 15 + -12x Solving -17 + 4x = 15 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -17 + 4x + 12x = 15 + -12x + 12x Combine like terms: 4x + 12x = 16x -17 + 16x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 -17 + 16x = 15 + 0 -17 + 16x = 15 Add '17' to each side of the equation. -17 + 17 + 16x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 16x = 15 + 17 16x = 15 + 17 Combine like terms: 15 + 17 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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