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Simplifying 7(2x + 3) = 2(4x + 6) Reorder the terms: 7(3 + 2x) = 2(4x + 6) (3 * 7 + 2x * 7) = 2(4x + 6) (21 + 14x) = 2(4x + 6) Reorder the terms: 21 + 14x = 2(6 + 4x) 21 + 14x = (6 * 2 + 4x * 2) 21 + 14x = (12 + 8x) Solving 21 + 14x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 14x + -8x = 12 + 8x + -8x Combine like terms: 14x + -8x = 6x 21 + 6x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + 6x = 12 + 0 21 + 6x = 12 Add '-21' to each side of the equation. 21 + -21 + 6x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 12 + -21 6x = 12 + -21 Combine like terms: 12 + -21 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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