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