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Simplifying 6(X + 5) = 2(X + 3) Reorder the terms: 6(5 + X) = 2(X + 3) (5 * 6 + X * 6) = 2(X + 3) (30 + 6X) = 2(X + 3) Reorder the terms: 30 + 6X = 2(3 + X) 30 + 6X = (3 * 2 + X * 2) 30 + 6X = (6 + 2X) Solving 30 + 6X = 6 + 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. 30 + 6X + -2X = 6 + 2X + -2X Combine like terms: 6X + -2X = 4X 30 + 4X = 6 + 2X + -2X Combine like terms: 2X + -2X = 0 30 + 4X = 6 + 0 30 + 4X = 6 Add '-30' to each side of the equation. 30 + -30 + 4X = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 4X = 6 + -30 4X = 6 + -30 Combine like terms: 6 + -30 = -24 4X = -24 Divide each side by '4'. X = -6 Simplifying X = -6
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