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Simplifying 7x + -1(4x + 5) = 19 Reorder the terms: 7x + -1(5 + 4x) = 19 7x + (5 * -1 + 4x * -1) = 19 7x + (-5 + -4x) = 19 Reorder the terms: -5 + 7x + -4x = 19 Combine like terms: 7x + -4x = 3x -5 + 3x = 19 Solving -5 + 3x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 19 + 5 3x = 19 + 5 Combine like terms: 19 + 5 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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