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Simplifying 42x + -2 = 38x + 1 + -3x Reorder the terms: -2 + 42x = 38x + 1 + -3x Reorder the terms: -2 + 42x = 1 + 38x + -3x Combine like terms: 38x + -3x = 35x -2 + 42x = 1 + 35x Solving -2 + 42x = 1 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -2 + 42x + -35x = 1 + 35x + -35x Combine like terms: 42x + -35x = 7x -2 + 7x = 1 + 35x + -35x Combine like terms: 35x + -35x = 0 -2 + 7x = 1 + 0 -2 + 7x = 1 Add '2' to each side of the equation. -2 + 2 + 7x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 1 + 2 7x = 1 + 2 Combine like terms: 1 + 2 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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