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Simplifying (4x + -3) + (3x + 1) = 38 Reorder the terms: (-3 + 4x) + (3x + 1) = 38 Remove parenthesis around (-3 + 4x) -3 + 4x + (3x + 1) = 38 Reorder the terms: -3 + 4x + (1 + 3x) = 38 Remove parenthesis around (1 + 3x) -3 + 4x + 1 + 3x = 38 Reorder the terms: -3 + 1 + 4x + 3x = 38 Combine like terms: -3 + 1 = -2 -2 + 4x + 3x = 38 Combine like terms: 4x + 3x = 7x -2 + 7x = 38 Solving -2 + 7x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 38 + 2 7x = 38 + 2 Combine like terms: 38 + 2 = 40 7x = 40 Divide each side by '7'. x = 5.714285714 Simplifying x = 5.714285714
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