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Simplifying 42x + -13 = 17x + 12 Reorder the terms: -13 + 42x = 17x + 12 Reorder the terms: -13 + 42x = 12 + 17x Solving -13 + 42x = 12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -13 + 42x + -17x = 12 + 17x + -17x Combine like terms: 42x + -17x = 25x -13 + 25x = 12 + 17x + -17x Combine like terms: 17x + -17x = 0 -13 + 25x = 12 + 0 -13 + 25x = 12 Add '13' to each side of the equation. -13 + 13 + 25x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 25x = 12 + 13 25x = 12 + 13 Combine like terms: 12 + 13 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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