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Simplifying 9(x + -8) + -12 = 30x + -189 Reorder the terms: 9(-8 + x) + -12 = 30x + -189 (-8 * 9 + x * 9) + -12 = 30x + -189 (-72 + 9x) + -12 = 30x + -189 Reorder the terms: -72 + -12 + 9x = 30x + -189 Combine like terms: -72 + -12 = -84 -84 + 9x = 30x + -189 Reorder the terms: -84 + 9x = -189 + 30x Solving -84 + 9x = -189 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -84 + 9x + -30x = -189 + 30x + -30x Combine like terms: 9x + -30x = -21x -84 + -21x = -189 + 30x + -30x Combine like terms: 30x + -30x = 0 -84 + -21x = -189 + 0 -84 + -21x = -189 Add '84' to each side of the equation. -84 + 84 + -21x = -189 + 84 Combine like terms: -84 + 84 = 0 0 + -21x = -189 + 84 -21x = -189 + 84 Combine like terms: -189 + 84 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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