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Simplifying (12x + -9) + -1(6x + 36) = 0 Reorder the terms: (-9 + 12x) + -1(6x + 36) = 0 Remove parenthesis around (-9 + 12x) -9 + 12x + -1(6x + 36) = 0 Reorder the terms: -9 + 12x + -1(36 + 6x) = 0 -9 + 12x + (36 * -1 + 6x * -1) = 0 -9 + 12x + (-36 + -6x) = 0 Reorder the terms: -9 + -36 + 12x + -6x = 0 Combine like terms: -9 + -36 = -45 -45 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x -45 + 6x = 0 Solving -45 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 6x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 0 + 45 6x = 0 + 45 Combine like terms: 0 + 45 = 45 6x = 45 Divide each side by '6'. x = 7.5 Simplifying x = 7.5
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