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Simplifying 6x + 7 = 105 + -8x Reorder the terms: 7 + 6x = 105 + -8x Solving 7 + 6x = 105 + -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. 7 + 6x + 8x = 105 + -8x + 8x Combine like terms: 6x + 8x = 14x 7 + 14x = 105 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 14x = 105 + 0 7 + 14x = 105 Add '-7' to each side of the equation. 7 + -7 + 14x = 105 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 105 + -7 14x = 105 + -7 Combine like terms: 105 + -7 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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