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Simplifying (14x + -17) + (5x + 12) = 90 Reorder the terms: (-17 + 14x) + (5x + 12) = 90 Remove parenthesis around (-17 + 14x) -17 + 14x + (5x + 12) = 90 Reorder the terms: -17 + 14x + (12 + 5x) = 90 Remove parenthesis around (12 + 5x) -17 + 14x + 12 + 5x = 90 Reorder the terms: -17 + 12 + 14x + 5x = 90 Combine like terms: -17 + 12 = -5 -5 + 14x + 5x = 90 Combine like terms: 14x + 5x = 19x -5 + 19x = 90 Solving -5 + 19x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 19x = 90 + 5 Combine like terms: -5 + 5 = 0 0 + 19x = 90 + 5 19x = 90 + 5 Combine like terms: 90 + 5 = 95 19x = 95 Divide each side by '19'. x = 5 Simplifying x = 5
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