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Simplifying 6(X + 2) = 4(X + 10) Reorder the terms: 6(2 + X) = 4(X + 10) (2 * 6 + X * 6) = 4(X + 10) (12 + 6X) = 4(X + 10) Reorder the terms: 12 + 6X = 4(10 + X) 12 + 6X = (10 * 4 + X * 4) 12 + 6X = (40 + 4X) Solving 12 + 6X = 40 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 12 + 6X + -4X = 40 + 4X + -4X Combine like terms: 6X + -4X = 2X 12 + 2X = 40 + 4X + -4X Combine like terms: 4X + -4X = 0 12 + 2X = 40 + 0 12 + 2X = 40 Add '-12' to each side of the equation. 12 + -12 + 2X = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 2X = 40 + -12 2X = 40 + -12 Combine like terms: 40 + -12 = 28 2X = 28 Divide each side by '2'. X = 14 Simplifying X = 14
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