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Simplifying 7(2x + 4) = 3(4x) Reorder the terms: 7(4 + 2x) = 3(4x) (4 * 7 + 2x * 7) = 3(4x) (28 + 14x) = 3(4x) Remove parenthesis around (4x) 28 + 14x = 3 * 4x Multiply 3 * 4 28 + 14x = 12x Solving 28 + 14x = 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. 28 + 14x + -12x = 12x + -12x Combine like terms: 14x + -12x = 2x 28 + 2x = 12x + -12x Combine like terms: 12x + -12x = 0 28 + 2x = 0 Add '-28' to each side of the equation. 28 + -28 + 2x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 0 + -28 2x = 0 + -28 Combine like terms: 0 + -28 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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