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Simplifying 6x + 25 = 14x + -71 Reorder the terms: 25 + 6x = 14x + -71 Reorder the terms: 25 + 6x = -71 + 14x Solving 25 + 6x = -71 + 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. 25 + 6x + -14x = -71 + 14x + -14x Combine like terms: 6x + -14x = -8x 25 + -8x = -71 + 14x + -14x Combine like terms: 14x + -14x = 0 25 + -8x = -71 + 0 25 + -8x = -71 Add '-25' to each side of the equation. 25 + -25 + -8x = -71 + -25 Combine like terms: 25 + -25 = 0 0 + -8x = -71 + -25 -8x = -71 + -25 Combine like terms: -71 + -25 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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