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Simplifying 7(x + 3) = 35 + 5x Reorder the terms: 7(3 + x) = 35 + 5x (3 * 7 + x * 7) = 35 + 5x (21 + 7x) = 35 + 5x Solving 21 + 7x = 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 + 7x + -5x = 35 + 5x + -5x Combine like terms: 7x + -5x = 2x 21 + 2x = 35 + 5x + -5x Combine like terms: 5x + -5x = 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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