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Simplifying -5(3x + 3) + 6(x + -9) = 0 Reorder the terms: -5(3 + 3x) + 6(x + -9) = 0 (3 * -5 + 3x * -5) + 6(x + -9) = 0 (-15 + -15x) + 6(x + -9) = 0 Reorder the terms: -15 + -15x + 6(-9 + x) = 0 -15 + -15x + (-9 * 6 + x * 6) = 0 -15 + -15x + (-54 + 6x) = 0 Reorder the terms: -15 + -54 + -15x + 6x = 0 Combine like terms: -15 + -54 = -69 -69 + -15x + 6x = 0 Combine like terms: -15x + 6x = -9x -69 + -9x = 0 Solving -69 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -9x = 0 + 69 Combine like terms: -69 + 69 = 0 0 + -9x = 0 + 69 -9x = 0 + 69 Combine like terms: 0 + 69 = 69 -9x = 69 Divide each side by '-9'. x = -7.666666667 Simplifying x = -7.666666667
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