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Simplifying X + -1(9x + -10) + 11 = 12x + 3(-2x + 11) Reorder the terms: X + -1(-10 + 9x) + 11 = 12x + 3(-2x + 11) X + (-10 * -1 + 9x * -1) + 11 = 12x + 3(-2x + 11) X + (10 + -9x) + 11 = 12x + 3(-2x + 11) Reorder the terms: 10 + 11 + X + -9x = 12x + 3(-2x + 11) Combine like terms: 10 + 11 = 21 21 + X + -9x = 12x + 3(-2x + 11) Reorder the terms: 21 + X + -9x = 12x + 3(11 + -2x) 21 + X + -9x = 12x + (11 * 3 + -2x * 3) 21 + X + -9x = 12x + (33 + -6x) Reorder the terms: 21 + X + -9x = 33 + 12x + -6x Combine like terms: 12x + -6x = 6x 21 + X + -9x = 33 + 6x Solving 21 + X + -9x = 33 + 6x 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 = 33 + -21 + 6x Reorder the terms: 21 + -21 + X + -9x = 33 + -21 + 6x Combine like terms: 21 + -21 = 0 0 + X + -9x = 33 + -21 + 6x X + -9x = 33 + -21 + 6x Combine like terms: 33 + -21 = 12 X + -9x = 12 + 6x Add '9x' to each side of the equation. X + -9x + 9x = 12 + 6x + 9x Combine like terms: -9x + 9x = 0 X + 0 = 12 + 6x + 9x X = 12 + 6x + 9x Combine like terms: 6x + 9x = 15x X = 12 + 15x Simplifying X = 12 + 15x
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