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Simplifying 2(3 + x) = 7(3x + 2) + 12 (3 * 2 + x * 2) = 7(3x + 2) + 12 (6 + 2x) = 7(3x + 2) + 12 Reorder the terms: 6 + 2x = 7(2 + 3x) + 12 6 + 2x = (2 * 7 + 3x * 7) + 12 6 + 2x = (14 + 21x) + 12 Reorder the terms: 6 + 2x = 14 + 12 + 21x Combine like terms: 14 + 12 = 26 6 + 2x = 26 + 21x Solving 6 + 2x = 26 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 6 + 2x + -21x = 26 + 21x + -21x Combine like terms: 2x + -21x = -19x 6 + -19x = 26 + 21x + -21x Combine like terms: 21x + -21x = 0 6 + -19x = 26 + 0 6 + -19x = 26 Add '-6' to each side of the equation. 6 + -6 + -19x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + -19x = 26 + -6 -19x = 26 + -6 Combine like terms: 26 + -6 = 20 -19x = 20 Divide each side by '-19'. x = -1.052631579 Simplifying x = -1.052631579
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