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Simplifying 6(4 + -6x) + 3(1 + 5x) = 30 (4 * 6 + -6x * 6) + 3(1 + 5x) = 30 (24 + -36x) + 3(1 + 5x) = 30 24 + -36x + (1 * 3 + 5x * 3) = 30 24 + -36x + (3 + 15x) = 30 Reorder the terms: 24 + 3 + -36x + 15x = 30 Combine like terms: 24 + 3 = 27 27 + -36x + 15x = 30 Combine like terms: -36x + 15x = -21x 27 + -21x = 30 Solving 27 + -21x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -21x = 30 + -27 Combine like terms: 27 + -27 = 0 0 + -21x = 30 + -27 -21x = 30 + -27 Combine like terms: 30 + -27 = 3 -21x = 3 Divide each side by '-21'. x = -0.1428571429 Simplifying x = -0.1428571429
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