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Simplifying 8(2X + 1) = 6(3X + 2) Reorder the terms: 8(1 + 2X) = 6(3X + 2) (1 * 8 + 2X * 8) = 6(3X + 2) (8 + 16X) = 6(3X + 2) Reorder the terms: 8 + 16X = 6(2 + 3X) 8 + 16X = (2 * 6 + 3X * 6) 8 + 16X = (12 + 18X) Solving 8 + 16X = 12 + 18X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18X' to each side of the equation. 8 + 16X + -18X = 12 + 18X + -18X Combine like terms: 16X + -18X = -2X 8 + -2X = 12 + 18X + -18X Combine like terms: 18X + -18X = 0 8 + -2X = 12 + 0 8 + -2X = 12 Add '-8' to each side of the equation. 8 + -8 + -2X = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2X = 12 + -8 -2X = 12 + -8 Combine like terms: 12 + -8 = 4 -2X = 4 Divide each side by '-2'. X = -2 Simplifying X = -2
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