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Simplifying 2x + 21 = 3(4x + 6) Reorder the terms: 21 + 2x = 3(4x + 6) Reorder the terms: 21 + 2x = 3(6 + 4x) 21 + 2x = (6 * 3 + 4x * 3) 21 + 2x = (18 + 12x) Solving 21 + 2x = 18 + 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 + 2x + -12x = 18 + 12x + -12x Combine like terms: 2x + -12x = -10x 21 + -10x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -10x = 18 + 0 21 + -10x = 18 Add '-21' to each side of the equation. 21 + -21 + -10x = 18 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = 18 + -21 -10x = 18 + -21 Combine like terms: 18 + -21 = -3 -10x = -3 Divide each side by '-10'. x = 0.3 Simplifying x = 0.3
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