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