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