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Simplifying 9x + -1(3x + 6) = 9x + -12 Reorder the terms: 9x + -1(6 + 3x) = 9x + -12 9x + (6 * -1 + 3x * -1) = 9x + -12 9x + (-6 + -3x) = 9x + -12 Reorder the terms: -6 + 9x + -3x = 9x + -12 Combine like terms: 9x + -3x = 6x -6 + 6x = 9x + -12 Reorder the terms: -6 + 6x = -12 + 9x Solving -6 + 6x = -12 + 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 + 6x + -9x = -12 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = -12 + 0 -6 + -3x = -12 Add '6' to each side of the equation. -6 + 6 + -3x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -12 + 6 -3x = -12 + 6 Combine like terms: -12 + 6 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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