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Simplifying 6x + 2(3x + -16) = 52 Reorder the terms: 6x + 2(-16 + 3x) = 52 6x + (-16 * 2 + 3x * 2) = 52 6x + (-32 + 6x) = 52 Reorder the terms: -32 + 6x + 6x = 52 Combine like terms: 6x + 6x = 12x -32 + 12x = 52 Solving -32 + 12x = 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 + 12x = 52 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 52 + 32 12x = 52 + 32 Combine like terms: 52 + 32 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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