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Simplifying 6x + 217 = 14x + -7 Reorder the terms: 217 + 6x = 14x + -7 Reorder the terms: 217 + 6x = -7 + 14x Solving 217 + 6x = -7 + 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. 217 + 6x + -14x = -7 + 14x + -14x Combine like terms: 6x + -14x = -8x 217 + -8x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 217 + -8x = -7 + 0 217 + -8x = -7 Add '-217' to each side of the equation. 217 + -217 + -8x = -7 + -217 Combine like terms: 217 + -217 = 0 0 + -8x = -7 + -217 -8x = -7 + -217 Combine like terms: -7 + -217 = -224 -8x = -224 Divide each side by '-8'. x = 28 Simplifying x = 28
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