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Simplifying X + -1(9x + -10) + 11 = 12x + -6 + 0.9 Reorder the terms: X + -1(-10 + 9x) + 11 = 12x + -6 + 0.9 X + (-10 * -1 + 9x * -1) + 11 = 12x + -6 + 0.9 X + (10 + -9x) + 11 = 12x + -6 + 0.9 Reorder the terms: 10 + 11 + X + -9x = 12x + -6 + 0.9 Combine like terms: 10 + 11 = 21 21 + X + -9x = 12x + -6 + 0.9 Reorder the terms: 21 + X + -9x = -6 + 0.9 + 12x Combine like terms: -6 + 0.9 = -5.1 21 + X + -9x = -5.1 + 12x Solving 21 + X + -9x = -5.1 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + X + -21 + -9x = -5.1 + -21 + 12x Reorder the terms: 21 + -21 + X + -9x = -5.1 + -21 + 12x Combine like terms: 21 + -21 = 0 0 + X + -9x = -5.1 + -21 + 12x X + -9x = -5.1 + -21 + 12x Combine like terms: -5.1 + -21 = -26.1 X + -9x = -26.1 + 12x Add '9x' to each side of the equation. X + -9x + 9x = -26.1 + 12x + 9x Combine like terms: -9x + 9x = 0 X + 0 = -26.1 + 12x + 9x X = -26.1 + 12x + 9x Combine like terms: 12x + 9x = 21x X = -26.1 + 21x Simplifying X = -26.1 + 21x
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