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Simplifying 6(x + -9) = 12x + 36 Reorder the terms: 6(-9 + x) = 12x + 36 (-9 * 6 + x * 6) = 12x + 36 (-54 + 6x) = 12x + 36 Reorder the terms: -54 + 6x = 36 + 12x Solving -54 + 6x = 36 + 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. -54 + 6x + -12x = 36 + 12x + -12x Combine like terms: 6x + -12x = -6x -54 + -6x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -54 + -6x = 36 + 0 -54 + -6x = 36 Add '54' to each side of the equation. -54 + 54 + -6x = 36 + 54 Combine like terms: -54 + 54 = 0 0 + -6x = 36 + 54 -6x = 36 + 54 Combine like terms: 36 + 54 = 90 -6x = 90 Divide each side by '-6'. x = -15 Simplifying x = -15
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