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Simplifying 10x + -8 + 2x + -5 = 9x + -4 + 2x Reorder the terms: -8 + -5 + 10x + 2x = 9x + -4 + 2x Combine like terms: -8 + -5 = -13 -13 + 10x + 2x = 9x + -4 + 2x Combine like terms: 10x + 2x = 12x -13 + 12x = 9x + -4 + 2x Reorder the terms: -13 + 12x = -4 + 9x + 2x Combine like terms: 9x + 2x = 11x -13 + 12x = -4 + 11x Solving -13 + 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. -13 + 12x + -11x = -4 + 11x + -11x Combine like terms: 12x + -11x = 1x -13 + 1x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -13 + 1x = -4 + 0 -13 + 1x = -4 Add '13' to each side of the equation. -13 + 13 + 1x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -4 + 13 1x = -4 + 13 Combine like terms: -4 + 13 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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