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Simplifying 21 = 4(3x + 2) + 1 Reorder the terms: 21 = 4(2 + 3x) + 1 21 = (2 * 4 + 3x * 4) + 1 21 = (8 + 12x) + 1 Reorder the terms: 21 = 8 + 1 + 12x Combine like terms: 8 + 1 = 9 21 = 9 + 12x Solving 21 = 9 + 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 + -12x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -12x = 9 + 0 21 + -12x = 9 Add '-21' to each side of the equation. 21 + -21 + -12x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = 9 + -21 -12x = 9 + -21 Combine like terms: 9 + -21 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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