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Simplifying 14x + -117 = 8x + -75 Reorder the terms: -117 + 14x = 8x + -75 Reorder the terms: -117 + 14x = -75 + 8x Solving -117 + 14x = -75 + 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. -117 + 14x + -8x = -75 + 8x + -8x Combine like terms: 14x + -8x = 6x -117 + 6x = -75 + 8x + -8x Combine like terms: 8x + -8x = 0 -117 + 6x = -75 + 0 -117 + 6x = -75 Add '117' to each side of the equation. -117 + 117 + 6x = -75 + 117 Combine like terms: -117 + 117 = 0 0 + 6x = -75 + 117 6x = -75 + 117 Combine like terms: -75 + 117 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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