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Simplifying 7x + (x + -1) = 3x + 19 Reorder the terms: 7x + (-1 + x) = 3x + 19 Remove parenthesis around (-1 + x) 7x + -1 + x = 3x + 19 Reorder the terms: -1 + 7x + x = 3x + 19 Combine like terms: 7x + x = 8x -1 + 8x = 3x + 19 Reorder the terms: -1 + 8x = 19 + 3x Solving -1 + 8x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 8x + -3x = 19 + 3x + -3x Combine like terms: 8x + -3x = 5x -1 + 5x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 5x = 19 + 0 -1 + 5x = 19 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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