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Simplifying -6(x + 9) + -9x = -3(x + 2) Reorder the terms: -6(9 + x) + -9x = -3(x + 2) (9 * -6 + x * -6) + -9x = -3(x + 2) (-54 + -6x) + -9x = -3(x + 2) Combine like terms: -6x + -9x = -15x -54 + -15x = -3(x + 2) Reorder the terms: -54 + -15x = -3(2 + x) -54 + -15x = (2 * -3 + x * -3) -54 + -15x = (-6 + -3x) Solving -54 + -15x = -6 + -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 + -15x + 3x = -6 + -3x + 3x Combine like terms: -15x + 3x = -12x -54 + -12x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -54 + -12x = -6 + 0 -54 + -12x = -6 Add '54' to each side of the equation. -54 + 54 + -12x = -6 + 54 Combine like terms: -54 + 54 = 0 0 + -12x = -6 + 54 -12x = -6 + 54 Combine like terms: -6 + 54 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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