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Simplifying -3(2X + 1) = 12(x + 4) + 16 Reorder the terms: -3(1 + 2X) = 12(x + 4) + 16 (1 * -3 + 2X * -3) = 12(x + 4) + 16 (-3 + -6X) = 12(x + 4) + 16 Reorder the terms: -3 + -6X = 12(4 + x) + 16 -3 + -6X = (4 * 12 + x * 12) + 16 -3 + -6X = (48 + 12x) + 16 Reorder the terms: -3 + -6X = 48 + 16 + 12x Combine like terms: 48 + 16 = 64 -3 + -6X = 64 + 12x Solving -3 + -6X = 64 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -6X = 64 + 3 + 12x Combine like terms: -3 + 3 = 0 0 + -6X = 64 + 3 + 12x -6X = 64 + 3 + 12x Combine like terms: 64 + 3 = 67 -6X = 67 + 12x Divide each side by '-6'. X = -11.16666667 + -2x Simplifying X = -11.16666667 + -2x
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