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Simplifying 7x + -1(4x + 5) = 5x + -19 Reorder the terms: 7x + -1(5 + 4x) = 5x + -19 7x + (5 * -1 + 4x * -1) = 5x + -19 7x + (-5 + -4x) = 5x + -19 Reorder the terms: -5 + 7x + -4x = 5x + -19 Combine like terms: 7x + -4x = 3x -5 + 3x = 5x + -19 Reorder the terms: -5 + 3x = -19 + 5x Solving -5 + 3x = -19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 3x + -5x = -19 + 5x + -5x Combine like terms: 3x + -5x = -2x -5 + -2x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -2x = -19 + 0 -5 + -2x = -19 Add '5' to each side of the equation. -5 + 5 + -2x = -19 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -19 + 5 -2x = -19 + 5 Combine like terms: -19 + 5 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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