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Simplifying 7(2x + 4) = 4(3x + 2) Reorder the terms: 7(4 + 2x) = 4(3x + 2) (4 * 7 + 2x * 7) = 4(3x + 2) (28 + 14x) = 4(3x + 2) Reorder the terms: 28 + 14x = 4(2 + 3x) 28 + 14x = (2 * 4 + 3x * 4) 28 + 14x = (8 + 12x) Solving 28 + 14x = 8 + 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 = 8 + 12x + -12x Combine like terms: 14x + -12x = 2x 28 + 2x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + 2x = 8 + 0 28 + 2x = 8 Add '-28' to each side of the equation. 28 + -28 + 2x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 8 + -28 2x = 8 + -28 Combine like terms: 8 + -28 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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