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Simplifying 2(X + 3) + 2(2x + -8) = 42 Reorder the terms: 2(3 + X) + 2(2x + -8) = 42 (3 * 2 + X * 2) + 2(2x + -8) = 42 (6 + 2X) + 2(2x + -8) = 42 Reorder the terms: 6 + 2X + 2(-8 + 2x) = 42 6 + 2X + (-8 * 2 + 2x * 2) = 42 6 + 2X + (-16 + 4x) = 42 Reorder the terms: 6 + -16 + 2X + 4x = 42 Combine like terms: 6 + -16 = -10 -10 + 2X + 4x = 42 Solving -10 + 2X + 4x = 42 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2X + 10 + 4x = 42 + 10 Reorder the terms: -10 + 10 + 2X + 4x = 42 + 10 Combine like terms: -10 + 10 = 0 0 + 2X + 4x = 42 + 10 2X + 4x = 42 + 10 Combine like terms: 42 + 10 = 52 2X + 4x = 52 Add '-4x' to each side of the equation. 2X + 4x + -4x = 52 + -4x Combine like terms: 4x + -4x = 0 2X + 0 = 52 + -4x 2X = 52 + -4x Divide each side by '2'. X = 26 + -2x Simplifying X = 26 + -2x
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