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Simplifying 7x + -1(2x + 5) = 3x + -49 Reorder the terms: 7x + -1(5 + 2x) = 3x + -49 7x + (5 * -1 + 2x * -1) = 3x + -49 7x + (-5 + -2x) = 3x + -49 Reorder the terms: -5 + 7x + -2x = 3x + -49 Combine like terms: 7x + -2x = 5x -5 + 5x = 3x + -49 Reorder the terms: -5 + 5x = -49 + 3x Solving -5 + 5x = -49 + 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. -5 + 5x + -3x = -49 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = -49 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = -49 + 0 -5 + 2x = -49 Add '5' to each side of the equation. -5 + 5 + 2x = -49 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -49 + 5 2x = -49 + 5 Combine like terms: -49 + 5 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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