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Simplifying 2(6x + 4) + 3(3x + 5) = -103 Reorder the terms: 2(4 + 6x) + 3(3x + 5) = -103 (4 * 2 + 6x * 2) + 3(3x + 5) = -103 (8 + 12x) + 3(3x + 5) = -103 Reorder the terms: 8 + 12x + 3(5 + 3x) = -103 8 + 12x + (5 * 3 + 3x * 3) = -103 8 + 12x + (15 + 9x) = -103 Reorder the terms: 8 + 15 + 12x + 9x = -103 Combine like terms: 8 + 15 = 23 23 + 12x + 9x = -103 Combine like terms: 12x + 9x = 21x 23 + 21x = -103 Solving 23 + 21x = -103 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 21x = -103 + -23 Combine like terms: 23 + -23 = 0 0 + 21x = -103 + -23 21x = -103 + -23 Combine like terms: -103 + -23 = -126 21x = -126 Divide each side by '21'. x = -6 Simplifying x = -6
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