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Simplifying 2x + 21 = -5(x + 7) Reorder the terms: 21 + 2x = -5(x + 7) Reorder the terms: 21 + 2x = -5(7 + x) 21 + 2x = (7 * -5 + x * -5) 21 + 2x = (-35 + -5x) Solving 21 + 2x = -35 + -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. 21 + 2x + 5x = -35 + -5x + 5x Combine like terms: 2x + 5x = 7x 21 + 7x = -35 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 7x = -35 + 0 21 + 7x = -35 Add '-21' to each side of the equation. 21 + -21 + 7x = -35 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = -35 + -21 7x = -35 + -21 Combine like terms: -35 + -21 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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