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Simplifying 21x + 42 + -3(6x + 12) = 27 Reorder the terms: 21x + 42 + -3(12 + 6x) = 27 21x + 42 + (12 * -3 + 6x * -3) = 27 21x + 42 + (-36 + -18x) = 27 Reorder the terms: 42 + -36 + 21x + -18x = 27 Combine like terms: 42 + -36 = 6 6 + 21x + -18x = 27 Combine like terms: 21x + -18x = 3x 6 + 3x = 27 Solving 6 + 3x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 27 + -6 3x = 27 + -6 Combine like terms: 27 + -6 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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