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Simplifying -52 = -6x + 2(7x + 6) Reorder the terms: -52 = -6x + 2(6 + 7x) -52 = -6x + (6 * 2 + 7x * 2) -52 = -6x + (12 + 14x) Reorder the terms: -52 = 12 + -6x + 14x Combine like terms: -6x + 14x = 8x -52 = 12 + 8x Solving -52 = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -52 + -8x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -52 + -8x = 12 + 0 -52 + -8x = 12 Add '52' to each side of the equation. -52 + 52 + -8x = 12 + 52 Combine like terms: -52 + 52 = 0 0 + -8x = 12 + 52 -8x = 12 + 52 Combine like terms: 12 + 52 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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