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Simplifying -9x + -3x = 6(x + 9) + -12(x + 9) Combine like terms: -9x + -3x = -12x -12x = 6(x + 9) + -12(x + 9) Reorder the terms: -12x = 6(9 + x) + -12(x + 9) -12x = (9 * 6 + x * 6) + -12(x + 9) -12x = (54 + 6x) + -12(x + 9) Reorder the terms: -12x = 54 + 6x + -12(9 + x) -12x = 54 + 6x + (9 * -12 + x * -12) -12x = 54 + 6x + (-108 + -12x) Reorder the terms: -12x = 54 + -108 + 6x + -12x Combine like terms: 54 + -108 = -54 -12x = -54 + 6x + -12x Combine like terms: 6x + -12x = -6x -12x = -54 + -6x Solving -12x = -54 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12x + 6x = -54 + -6x + 6x Combine like terms: -12x + 6x = -6x -6x = -54 + -6x + 6x Combine like terms: -6x + 6x = 0 -6x = -54 + 0 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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