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Simplifying -9 + -1(-9x + -6) = 3(4x + 6) Reorder the terms: -9 + -1(-6 + -9x) = 3(4x + 6) -9 + (-6 * -1 + -9x * -1) = 3(4x + 6) -9 + (6 + 9x) = 3(4x + 6) Combine like terms: -9 + 6 = -3 -3 + 9x = 3(4x + 6) Reorder the terms: -3 + 9x = 3(6 + 4x) -3 + 9x = (6 * 3 + 4x * 3) -3 + 9x = (18 + 12x) Solving -3 + 9x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 9x + -12x = 18 + 12x + -12x Combine like terms: 9x + -12x = -3x -3 + -3x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -3x = 18 + 0 -3 + -3x = 18 Add '3' to each side of the equation. -3 + 3 + -3x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 18 + 3 -3x = 18 + 3 Combine like terms: 18 + 3 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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