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