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Simplifying -109 + 2x = 123 + -6x Solving -109 + 2x = 123 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -109 + 2x + 6x = 123 + -6x + 6x Combine like terms: 2x + 6x = 8x -109 + 8x = 123 + -6x + 6x Combine like terms: -6x + 6x = 0 -109 + 8x = 123 + 0 -109 + 8x = 123 Add '109' to each side of the equation. -109 + 109 + 8x = 123 + 109 Combine like terms: -109 + 109 = 0 0 + 8x = 123 + 109 8x = 123 + 109 Combine like terms: 123 + 109 = 232 8x = 232 Divide each side by '8'. x = 29 Simplifying x = 29
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