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Simplifying 2(X + -16) = 3(X + 4) Reorder the terms: 2(-16 + X) = 3(X + 4) (-16 * 2 + X * 2) = 3(X + 4) (-32 + 2X) = 3(X + 4) Reorder the terms: -32 + 2X = 3(4 + X) -32 + 2X = (4 * 3 + X * 3) -32 + 2X = (12 + 3X) Solving -32 + 2X = 12 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -32 + 2X + -3X = 12 + 3X + -3X Combine like terms: 2X + -3X = -1X -32 + -1X = 12 + 3X + -3X Combine like terms: 3X + -3X = 0 -32 + -1X = 12 + 0 -32 + -1X = 12 Add '32' to each side of the equation. -32 + 32 + -1X = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -1X = 12 + 32 -1X = 12 + 32 Combine like terms: 12 + 32 = 44 -1X = 44 Divide each side by '-1'. X = -44 Simplifying X = -44
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