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Simplifying 10x + -9 + 2x + -3 = 9x + -4 + 2x Reorder the terms: -9 + -3 + 10x + 2x = 9x + -4 + 2x Combine like terms: -9 + -3 = -12 -12 + 10x + 2x = 9x + -4 + 2x Combine like terms: 10x + 2x = 12x -12 + 12x = 9x + -4 + 2x Reorder the terms: -12 + 12x = -4 + 9x + 2x Combine like terms: 9x + 2x = 11x -12 + 12x = -4 + 11x Solving -12 + 12x = -4 + 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. -12 + 12x + -11x = -4 + 11x + -11x Combine like terms: 12x + -11x = 1x -12 + 1x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + 1x = -4 + 0 -12 + 1x = -4 Add '12' to each side of the equation. -12 + 12 + 1x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -4 + 12 1x = -4 + 12 Combine like terms: -4 + 12 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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