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Simplifying 3X + 6 = 2(X + 4) + 1x(1) Reorder the terms: 6 + 3X = 2(X + 4) + 1x(1) Reorder the terms: 6 + 3X = 2(4 + X) + 1x(1) 6 + 3X = (4 * 2 + X * 2) + 1x(1) 6 + 3X = (8 + 2X) + 1x(1) Reorder the terms for easier multiplication: 6 + 3X = 8 + 2X + 1 * 1x Multiply 1 * 1 6 + 3X = 8 + 2X + 1x Solving 6 + 3X = 8 + 2X + 1x 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 + 3X + -2X = 8 + 2X + -2X + 1x Combine like terms: 3X + -2X = 1X 6 + 1X = 8 + 2X + -2X + 1x Combine like terms: 2X + -2X = 0 6 + 1X = 8 + 0 + 1x 6 + 1X = 8 + 1x Add '-6' to each side of the equation. 6 + -6 + 1X = 8 + -6 + 1x Combine like terms: 6 + -6 = 0 0 + 1X = 8 + -6 + 1x 1X = 8 + -6 + 1x Combine like terms: 8 + -6 = 2 1X = 2 + 1x Divide each side by '1'. X = 2 + 1x Simplifying X = 2 + 1x
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