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Simplifying 4(3x + 2) = 6x + 14 Reorder the terms: 4(2 + 3x) = 6x + 14 (2 * 4 + 3x * 4) = 6x + 14 (8 + 12x) = 6x + 14 Reorder the terms: 8 + 12x = 14 + 6x Solving 8 + 12x = 14 + 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. 8 + 12x + -6x = 14 + 6x + -6x Combine like terms: 12x + -6x = 6x 8 + 6x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 6x = 14 + 0 8 + 6x = 14 Add '-8' to each side of the equation. 8 + -8 + 6x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 14 + -8 6x = 14 + -8 Combine like terms: 14 + -8 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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