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Simplifying x + -9x + 10 + 11 = 12x + -6x + 1 Reorder the terms: 10 + 11 + x + -9x = 12x + -6x + 1 Combine like terms: 10 + 11 = 21 21 + x + -9x = 12x + -6x + 1 Combine like terms: x + -9x = -8x 21 + -8x = 12x + -6x + 1 Reorder the terms: 21 + -8x = 1 + 12x + -6x Combine like terms: 12x + -6x = 6x 21 + -8x = 1 + 6x Solving 21 + -8x = 1 + 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. 21 + -8x + -6x = 1 + 6x + -6x Combine like terms: -8x + -6x = -14x 21 + -14x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -14x = 1 + 0 21 + -14x = 1 Add '-21' to each side of the equation. 21 + -21 + -14x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -14x = 1 + -21 -14x = 1 + -21 Combine like terms: 1 + -21 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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