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Simplifying 10x + -6 + 2x + -3 = 9x + -2 + 2x Reorder the terms: -6 + -3 + 10x + 2x = 9x + -2 + 2x Combine like terms: -6 + -3 = -9 -9 + 10x + 2x = 9x + -2 + 2x Combine like terms: 10x + 2x = 12x -9 + 12x = 9x + -2 + 2x Reorder the terms: -9 + 12x = -2 + 9x + 2x Combine like terms: 9x + 2x = 11x -9 + 12x = -2 + 11x Solving -9 + 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. -9 + 12x + -11x = -2 + 11x + -11x Combine like terms: 12x + -11x = 1x -9 + 1x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 -9 + 1x = -2 + 0 -9 + 1x = -2 Add '9' to each side of the equation. -9 + 9 + 1x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -2 + 9 1x = -2 + 9 Combine like terms: -2 + 9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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