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Simplifying 7(2x + 3) = 3(4x + 11) Reorder the terms: 7(3 + 2x) = 3(4x + 11) (3 * 7 + 2x * 7) = 3(4x + 11) (21 + 14x) = 3(4x + 11) Reorder the terms: 21 + 14x = 3(11 + 4x) 21 + 14x = (11 * 3 + 4x * 3) 21 + 14x = (33 + 12x) Solving 21 + 14x = 33 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + 14x + -12x = 33 + 12x + -12x Combine like terms: 14x + -12x = 2x 21 + 2x = 33 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + 2x = 33 + 0 21 + 2x = 33 Add '-21' to each side of the equation. 21 + -21 + 2x = 33 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 33 + -21 2x = 33 + -21 Combine like terms: 33 + -21 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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