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Simplifying -12x + 4(6x + 1) = 52 Reorder the terms: -12x + 4(1 + 6x) = 52 -12x + (1 * 4 + 6x * 4) = 52 -12x + (4 + 24x) = 52 Reorder the terms: 4 + -12x + 24x = 52 Combine like terms: -12x + 24x = 12x 4 + 12x = 52 Solving 4 + 12x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 52 + -4 12x = 52 + -4 Combine like terms: 52 + -4 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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