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Simplifying -6(2x + 9) = -1(3x + 9) Reorder the terms: -6(9 + 2x) = -1(3x + 9) (9 * -6 + 2x * -6) = -1(3x + 9) (-54 + -12x) = -1(3x + 9) Reorder the terms: -54 + -12x = -1(9 + 3x) -54 + -12x = (9 * -1 + 3x * -1) -54 + -12x = (-9 + -3x) Solving -54 + -12x = -9 + -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. -54 + -12x + 3x = -9 + -3x + 3x Combine like terms: -12x + 3x = -9x -54 + -9x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -54 + -9x = -9 + 0 -54 + -9x = -9 Add '54' to each side of the equation. -54 + 54 + -9x = -9 + 54 Combine like terms: -54 + 54 = 0 0 + -9x = -9 + 54 -9x = -9 + 54 Combine like terms: -9 + 54 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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