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Simplifying 6x + (-9) + -9(5x + 5) = 0 6x + -9 + -9(5x + 5) = 0 Reorder the terms: 6x + -9 + -9(5 + 5x) = 0 6x + -9 + (5 * -9 + 5x * -9) = 0 6x + -9 + (-45 + -45x) = 0 Reorder the terms: -9 + -45 + 6x + -45x = 0 Combine like terms: -9 + -45 = -54 -54 + 6x + -45x = 0 Combine like terms: 6x + -45x = -39x -54 + -39x = 0 Solving -54 + -39x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -39x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -39x = 0 + 54 -39x = 0 + 54 Combine like terms: 0 + 54 = 54 -39x = 54 Divide each side by '-39'. x = -1.384615385 Simplifying x = -1.384615385
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