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Simplifying 5x + 10 + 4(X + 2) = 3(X + 8) + 12 Reorder the terms: 5x + 10 + 4(2 + X) = 3(X + 8) + 12 5x + 10 + (2 * 4 + X * 4) = 3(X + 8) + 12 5x + 10 + (8 + 4X) = 3(X + 8) + 12 Reorder the terms: 10 + 8 + 4X + 5x = 3(X + 8) + 12 Combine like terms: 10 + 8 = 18 18 + 4X + 5x = 3(X + 8) + 12 Reorder the terms: 18 + 4X + 5x = 3(8 + X) + 12 18 + 4X + 5x = (8 * 3 + X * 3) + 12 18 + 4X + 5x = (24 + 3X) + 12 Reorder the terms: 18 + 4X + 5x = 24 + 12 + 3X Combine like terms: 24 + 12 = 36 18 + 4X + 5x = 36 + 3X Solving 18 + 4X + 5x = 36 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 18 + 4X + -3X + 5x = 36 + 3X + -3X Combine like terms: 4X + -3X = 1X 18 + 1X + 5x = 36 + 3X + -3X Combine like terms: 3X + -3X = 0 18 + 1X + 5x = 36 + 0 18 + 1X + 5x = 36 Add '-18' to each side of the equation. 18 + 1X + -18 + 5x = 36 + -18 Reorder the terms: 18 + -18 + 1X + 5x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 1X + 5x = 36 + -18 1X + 5x = 36 + -18 Combine like terms: 36 + -18 = 18 1X + 5x = 18 Add '-5x' to each side of the equation. 1X + 5x + -5x = 18 + -5x Combine like terms: 5x + -5x = 0 1X + 0 = 18 + -5x 1X = 18 + -5x Divide each side by '1'. X = 18 + -5x Simplifying X = 18 + -5x
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