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Simplifying -5x + -21 = -7(x + 5) Reorder the terms: -21 + -5x = -7(x + 5) Reorder the terms: -21 + -5x = -7(5 + x) -21 + -5x = (5 * -7 + x * -7) -21 + -5x = (-35 + -7x) Solving -21 + -5x = -35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -21 + -5x + 7x = -35 + -7x + 7x Combine like terms: -5x + 7x = 2x -21 + 2x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 2x = -35 + 0 -21 + 2x = -35 Add '21' to each side of the equation. -21 + 21 + 2x = -35 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -35 + 21 2x = -35 + 21 Combine like terms: -35 + 21 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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