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Simplifying -9 + -1(9 + -6x) = 3(4x + 6) -9 + (9 * -1 + -6x * -1) = 3(4x + 6) -9 + (-9 + 6x) = 3(4x + 6) Combine like terms: -9 + -9 = -18 -18 + 6x = 3(4x + 6) Reorder the terms: -18 + 6x = 3(6 + 4x) -18 + 6x = (6 * 3 + 4x * 3) -18 + 6x = (18 + 12x) Solving -18 + 6x = 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. -18 + 6x + -12x = 18 + 12x + -12x Combine like terms: 6x + -12x = -6x -18 + -6x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -6x = 18 + 0 -18 + -6x = 18 Add '18' to each side of the equation. -18 + 18 + -6x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 18 + 18 -6x = 18 + 18 Combine like terms: 18 + 18 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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