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