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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 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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