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Simplifying 9x + -1(3x + 9) = 3x + -12 Reorder the terms: 9x + -1(9 + 3x) = 3x + -12 9x + (9 * -1 + 3x * -1) = 3x + -12 9x + (-9 + -3x) = 3x + -12 Reorder the terms: -9 + 9x + -3x = 3x + -12 Combine like terms: 9x + -3x = 6x -9 + 6x = 3x + -12 Reorder the terms: -9 + 6x = -12 + 3x Solving -9 + 6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = -12 + 0 -9 + 3x = -12 Add '9' to each side of the equation. -9 + 9 + 3x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -12 + 9 3x = -12 + 9 Combine like terms: -12 + 9 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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