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Simplifying 6x + 14 = -114 + -10x Reorder the terms: 14 + 6x = -114 + -10x Solving 14 + 6x = -114 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + 6x + 10x = -114 + -10x + 10x Combine like terms: 6x + 10x = 16x 14 + 16x = -114 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 16x = -114 + 0 14 + 16x = -114 Add '-14' to each side of the equation. 14 + -14 + 16x = -114 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = -114 + -14 16x = -114 + -14 Combine like terms: -114 + -14 = -128 16x = -128 Divide each side by '16'. x = -8 Simplifying x = -8
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