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Simplifying 6x + 214 = 14x + -10 Reorder the terms: 214 + 6x = 14x + -10 Reorder the terms: 214 + 6x = -10 + 14x Solving 214 + 6x = -10 + 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. 214 + 6x + -14x = -10 + 14x + -14x Combine like terms: 6x + -14x = -8x 214 + -8x = -10 + 14x + -14x Combine like terms: 14x + -14x = 0 214 + -8x = -10 + 0 214 + -8x = -10 Add '-214' to each side of the equation. 214 + -214 + -8x = -10 + -214 Combine like terms: 214 + -214 = 0 0 + -8x = -10 + -214 -8x = -10 + -214 Combine like terms: -10 + -214 = -224 -8x = -224 Divide each side by '-8'. x = 28 Simplifying x = 28
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