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Simplifying 2(X + 2) + 3x = 12 + -3(X + -4) Reorder the terms: 2(2 + X) + 3x = 12 + -3(X + -4) (2 * 2 + X * 2) + 3x = 12 + -3(X + -4) (4 + 2X) + 3x = 12 + -3(X + -4) Reorder the terms: 4 + 2X + 3x = 12 + -3(-4 + X) 4 + 2X + 3x = 12 + (-4 * -3 + X * -3) 4 + 2X + 3x = 12 + (12 + -3X) Combine like terms: 12 + 12 = 24 4 + 2X + 3x = 24 + -3X Solving 4 + 2X + 3x = 24 + -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. 4 + 2X + 3X + 3x = 24 + -3X + 3X Combine like terms: 2X + 3X = 5X 4 + 5X + 3x = 24 + -3X + 3X Combine like terms: -3X + 3X = 0 4 + 5X + 3x = 24 + 0 4 + 5X + 3x = 24 Add '-4' to each side of the equation. 4 + 5X + -4 + 3x = 24 + -4 Reorder the terms: 4 + -4 + 5X + 3x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 5X + 3x = 24 + -4 5X + 3x = 24 + -4 Combine like terms: 24 + -4 = 20 5X + 3x = 20 Add '-3x' to each side of the equation. 5X + 3x + -3x = 20 + -3x Combine like terms: 3x + -3x = 0 5X + 0 = 20 + -3x 5X = 20 + -3x Divide each side by '5'. X = 4 + -0.6x Simplifying X = 4 + -0.6x
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