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Simplifying 7(2x + 3) = 42 + 7x Reorder the terms: 7(3 + 2x) = 42 + 7x (3 * 7 + 2x * 7) = 42 + 7x (21 + 14x) = 42 + 7x Solving 21 + 14x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + 14x + -7x = 42 + 7x + -7x Combine like terms: 14x + -7x = 7x 21 + 7x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + 7x = 42 + 0 21 + 7x = 42 Add '-21' to each side of the equation. 21 + -21 + 7x = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 42 + -21 7x = 42 + -21 Combine like terms: 42 + -21 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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