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Simplifying 10x + -9 + 2x + -5 = 9x + -2 + 2x Reorder the terms: -9 + -5 + 10x + 2x = 9x + -2 + 2x Combine like terms: -9 + -5 = -14 -14 + 10x + 2x = 9x + -2 + 2x Combine like terms: 10x + 2x = 12x -14 + 12x = 9x + -2 + 2x Reorder the terms: -14 + 12x = -2 + 9x + 2x Combine like terms: 9x + 2x = 11x -14 + 12x = -2 + 11x Solving -14 + 12x = -2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -14 + 12x + -11x = -2 + 11x + -11x Combine like terms: 12x + -11x = 1x -14 + 1x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 -14 + 1x = -2 + 0 -14 + 1x = -2 Add '14' to each side of the equation. -14 + 14 + 1x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -2 + 14 1x = -2 + 14 Combine like terms: -2 + 14 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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