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Simplifying 2(4x + 3) + 2 = -4(X + 1) Reorder the terms: 2(3 + 4x) + 2 = -4(X + 1) (3 * 2 + 4x * 2) + 2 = -4(X + 1) (6 + 8x) + 2 = -4(X + 1) Reorder the terms: 6 + 2 + 8x = -4(X + 1) Combine like terms: 6 + 2 = 8 8 + 8x = -4(X + 1) Reorder the terms: 8 + 8x = -4(1 + X) 8 + 8x = (1 * -4 + X * -4) 8 + 8x = (-4 + -4X) Solving 8 + 8x = -4 + -4X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = -4 + -8 + -4X Combine like terms: 8 + -8 = 0 0 + 8x = -4 + -8 + -4X 8x = -4 + -8 + -4X Combine like terms: -4 + -8 = -12 8x = -12 + -4X Divide each side by '8'. x = -1.5 + -0.5X Simplifying x = -1.5 + -0.5X
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