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Simplifying 4x + 2(5x + -16) = 52 Reorder the terms: 4x + 2(-16 + 5x) = 52 4x + (-16 * 2 + 5x * 2) = 52 4x + (-32 + 10x) = 52 Reorder the terms: -32 + 4x + 10x = 52 Combine like terms: 4x + 10x = 14x -32 + 14x = 52 Solving -32 + 14x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 14x = 52 + 32 Combine like terms: -32 + 32 = 0 0 + 14x = 52 + 32 14x = 52 + 32 Combine like terms: 52 + 32 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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