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