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Simplifying 8x + -1(3x + 1) = 19 Reorder the terms: 8x + -1(1 + 3x) = 19 8x + (1 * -1 + 3x * -1) = 19 8x + (-1 + -3x) = 19 Reorder the terms: -1 + 8x + -3x = 19 Combine like terms: 8x + -3x = 5x -1 + 5x = 19 Solving -1 + 5x = 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 + 5x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 19 + 1 5x = 19 + 1 Combine like terms: 19 + 1 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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