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Simplifying 3(X + 1) + 1 = 2(2x + 1) + -3 Reorder the terms: 3(1 + X) + 1 = 2(2x + 1) + -3 (1 * 3 + X * 3) + 1 = 2(2x + 1) + -3 (3 + 3X) + 1 = 2(2x + 1) + -3 Reorder the terms: 3 + 1 + 3X = 2(2x + 1) + -3 Combine like terms: 3 + 1 = 4 4 + 3X = 2(2x + 1) + -3 Reorder the terms: 4 + 3X = 2(1 + 2x) + -3 4 + 3X = (1 * 2 + 2x * 2) + -3 4 + 3X = (2 + 4x) + -3 Reorder the terms: 4 + 3X = 2 + -3 + 4x Combine like terms: 2 + -3 = -1 4 + 3X = -1 + 4x Solving 4 + 3X = -1 + 4x 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 + 3X = -1 + -4 + 4x Combine like terms: 4 + -4 = 0 0 + 3X = -1 + -4 + 4x 3X = -1 + -4 + 4x Combine like terms: -1 + -4 = -5 3X = -5 + 4x Divide each side by '3'. X = -1.666666667 + 1.333333333x Simplifying X = -1.666666667 + 1.333333333x
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