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Simplifying 14x + 21 = 4(6 + 3x) Reorder the terms: 21 + 14x = 4(6 + 3x) 21 + 14x = (6 * 4 + 3x * 4) 21 + 14x = (24 + 12x) Solving 21 + 14x = 24 + 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. 21 + 14x + -12x = 24 + 12x + -12x Combine like terms: 14x + -12x = 2x 21 + 2x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + 2x = 24 + 0 21 + 2x = 24 Add '-21' to each side of the equation. 21 + -21 + 2x = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 24 + -21 2x = 24 + -21 Combine like terms: 24 + -21 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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