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Simplifying 2x + 2(7x + -14) = 52 Reorder the terms: 2x + 2(-14 + 7x) = 52 2x + (-14 * 2 + 7x * 2) = 52 2x + (-28 + 14x) = 52 Reorder the terms: -28 + 2x + 14x = 52 Combine like terms: 2x + 14x = 16x -28 + 16x = 52 Solving -28 + 16x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 16x = 52 + 28 Combine like terms: -28 + 28 = 0 0 + 16x = 52 + 28 16x = 52 + 28 Combine like terms: 52 + 28 = 80 16x = 80 Divide each side by '16'. x = 5 Simplifying x = 5
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