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Simplifying 7(2x + 4) = 6(x + 12) Reorder the terms: 7(4 + 2x) = 6(x + 12) (4 * 7 + 2x * 7) = 6(x + 12) (28 + 14x) = 6(x + 12) Reorder the terms: 28 + 14x = 6(12 + x) 28 + 14x = (12 * 6 + x * 6) 28 + 14x = (72 + 6x) Solving 28 + 14x = 72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 14x + -6x = 72 + 6x + -6x Combine like terms: 14x + -6x = 8x 28 + 8x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 8x = 72 + 0 28 + 8x = 72 Add '-28' to each side of the equation. 28 + -28 + 8x = 72 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 72 + -28 8x = 72 + -28 Combine like terms: 72 + -28 = 44 8x = 44 Divide each side by '8'. x = 5.5 Simplifying x = 5.5
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