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Simplifying 5(6x + 1) = 3(-8 + X) + 2 Reorder the terms: 5(1 + 6x) = 3(-8 + X) + 2 (1 * 5 + 6x * 5) = 3(-8 + X) + 2 (5 + 30x) = 3(-8 + X) + 2 5 + 30x = (-8 * 3 + X * 3) + 2 5 + 30x = (-24 + 3X) + 2 Reorder the terms: 5 + 30x = -24 + 2 + 3X Combine like terms: -24 + 2 = -22 5 + 30x = -22 + 3X Solving 5 + 30x = -22 + 3X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 30x = -22 + -5 + 3X Combine like terms: 5 + -5 = 0 0 + 30x = -22 + -5 + 3X 30x = -22 + -5 + 3X Combine like terms: -22 + -5 = -27 30x = -27 + 3X Divide each side by '30'. x = -0.9 + 0.1X Simplifying x = -0.9 + 0.1X
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