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Simplifying 2(6x + 3) = 3(16 + -3x) Reorder the terms: 2(3 + 6x) = 3(16 + -3x) (3 * 2 + 6x * 2) = 3(16 + -3x) (6 + 12x) = 3(16 + -3x) 6 + 12x = (16 * 3 + -3x * 3) 6 + 12x = (48 + -9x) Solving 6 + 12x = 48 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + 12x + 9x = 48 + -9x + 9x Combine like terms: 12x + 9x = 21x 6 + 21x = 48 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 21x = 48 + 0 6 + 21x = 48 Add '-6' to each side of the equation. 6 + -6 + 21x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 21x = 48 + -6 21x = 48 + -6 Combine like terms: 48 + -6 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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