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Simplifying 2(6x + 3) = 18 + -3(16 + 3x) Reorder the terms: 2(3 + 6x) = 18 + -3(16 + 3x) (3 * 2 + 6x * 2) = 18 + -3(16 + 3x) (6 + 12x) = 18 + -3(16 + 3x) 6 + 12x = 18 + (16 * -3 + 3x * -3) 6 + 12x = 18 + (-48 + -9x) Combine like terms: 18 + -48 = -30 6 + 12x = -30 + -9x Solving 6 + 12x = -30 + -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 = -30 + -9x + 9x Combine like terms: 12x + 9x = 21x 6 + 21x = -30 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 21x = -30 + 0 6 + 21x = -30 Add '-6' to each side of the equation. 6 + -6 + 21x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 21x = -30 + -6 21x = -30 + -6 Combine like terms: -30 + -6 = -36 21x = -36 Divide each side by '21'. x = -1.714285714 Simplifying x = -1.714285714
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