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Simplifying -1(12x + -6) + -9x = -9(x + 10) Reorder the terms: -1(-6 + 12x) + -9x = -9(x + 10) (-6 * -1 + 12x * -1) + -9x = -9(x + 10) (6 + -12x) + -9x = -9(x + 10) Combine like terms: -12x + -9x = -21x 6 + -21x = -9(x + 10) Reorder the terms: 6 + -21x = -9(10 + x) 6 + -21x = (10 * -9 + x * -9) 6 + -21x = (-90 + -9x) Solving 6 + -21x = -90 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + -21x + 9x = -90 + -9x + 9x Combine like terms: -21x + 9x = -12x 6 + -12x = -90 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + -12x = -90 + 0 6 + -12x = -90 Add '-6' to each side of the equation. 6 + -6 + -12x = -90 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -90 + -6 -12x = -90 + -6 Combine like terms: -90 + -6 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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