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Simplifying 6x + 9 = -2x + 105 Reorder the terms: 9 + 6x = -2x + 105 Reorder the terms: 9 + 6x = 105 + -2x Solving 9 + 6x = 105 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 6x + 2x = 105 + -2x + 2x Combine like terms: 6x + 2x = 8x 9 + 8x = 105 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 8x = 105 + 0 9 + 8x = 105 Add '-9' to each side of the equation. 9 + -9 + 8x = 105 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 105 + -9 8x = 105 + -9 Combine like terms: 105 + -9 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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