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Simplifying 5(x + 4) + 2(X + 3) = 42 Reorder the terms: 5(4 + x) + 2(X + 3) = 42 (4 * 5 + x * 5) + 2(X + 3) = 42 (20 + 5x) + 2(X + 3) = 42 Reorder the terms: 20 + 5x + 2(3 + X) = 42 20 + 5x + (3 * 2 + X * 2) = 42 20 + 5x + (6 + 2X) = 42 Reorder the terms: 20 + 6 + 2X + 5x = 42 Combine like terms: 20 + 6 = 26 26 + 2X + 5x = 42 Solving 26 + 2X + 5x = 42 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 2X + -26 + 5x = 42 + -26 Reorder the terms: 26 + -26 + 2X + 5x = 42 + -26 Combine like terms: 26 + -26 = 0 0 + 2X + 5x = 42 + -26 2X + 5x = 42 + -26 Combine like terms: 42 + -26 = 16 2X + 5x = 16 Add '-5x' to each side of the equation. 2X + 5x + -5x = 16 + -5x Combine like terms: 5x + -5x = 0 2X + 0 = 16 + -5x 2X = 16 + -5x Divide each side by '2'. X = 8 + -2.5x Simplifying X = 8 + -2.5x
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