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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 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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