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Simplifying 7x + -1(3x + 1) = 19 Reorder the terms: 7x + -1(1 + 3x) = 19 7x + (1 * -1 + 3x * -1) = 19 7x + (-1 + -3x) = 19 Reorder the terms: -1 + 7x + -3x = 19 Combine like terms: 7x + -3x = 4x -1 + 4x = 19 Solving -1 + 4x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 19 + 1 4x = 19 + 1 Combine like terms: 19 + 1 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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