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Simplifying 6(X + 3) = 2(X + 19) Reorder the terms: 6(3 + X) = 2(X + 19) (3 * 6 + X * 6) = 2(X + 19) (18 + 6X) = 2(X + 19) Reorder the terms: 18 + 6X = 2(19 + X) 18 + 6X = (19 * 2 + X * 2) 18 + 6X = (38 + 2X) Solving 18 + 6X = 38 + 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. 18 + 6X + -2X = 38 + 2X + -2X Combine like terms: 6X + -2X = 4X 18 + 4X = 38 + 2X + -2X Combine like terms: 2X + -2X = 0 18 + 4X = 38 + 0 18 + 4X = 38 Add '-18' to each side of the equation. 18 + -18 + 4X = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 4X = 38 + -18 4X = 38 + -18 Combine like terms: 38 + -18 = 20 4X = 20 Divide each side by '4'. X = 5 Simplifying X = 5
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