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Simplifying 3(X + 1) + 4(X + -2) = 16 Reorder the terms: 3(1 + X) + 4(X + -2) = 16 (1 * 3 + X * 3) + 4(X + -2) = 16 (3 + 3X) + 4(X + -2) = 16 Reorder the terms: 3 + 3X + 4(-2 + X) = 16 3 + 3X + (-2 * 4 + X * 4) = 16 3 + 3X + (-8 + 4X) = 16 Reorder the terms: 3 + -8 + 3X + 4X = 16 Combine like terms: 3 + -8 = -5 -5 + 3X + 4X = 16 Combine like terms: 3X + 4X = 7X -5 + 7X = 16 Solving -5 + 7X = 16 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7X = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 7X = 16 + 5 7X = 16 + 5 Combine like terms: 16 + 5 = 21 7X = 21 Divide each side by '7'. X = 3 Simplifying X = 3
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