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Simplifying 105 + 9x = 117 + 7x Solving 105 + 9x = 117 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 105 + 9x + -7x = 117 + 7x + -7x Combine like terms: 9x + -7x = 2x 105 + 2x = 117 + 7x + -7x Combine like terms: 7x + -7x = 0 105 + 2x = 117 + 0 105 + 2x = 117 Add '-105' to each side of the equation. 105 + -105 + 2x = 117 + -105 Combine like terms: 105 + -105 = 0 0 + 2x = 117 + -105 2x = 117 + -105 Combine like terms: 117 + -105 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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