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Simplifying -3(9x + -5) = -9(4x + 6) Reorder the terms: -3(-5 + 9x) = -9(4x + 6) (-5 * -3 + 9x * -3) = -9(4x + 6) (15 + -27x) = -9(4x + 6) Reorder the terms: 15 + -27x = -9(6 + 4x) 15 + -27x = (6 * -9 + 4x * -9) 15 + -27x = (-54 + -36x) Solving 15 + -27x = -54 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 15 + -27x + 36x = -54 + -36x + 36x Combine like terms: -27x + 36x = 9x 15 + 9x = -54 + -36x + 36x Combine like terms: -36x + 36x = 0 15 + 9x = -54 + 0 15 + 9x = -54 Add '-15' to each side of the equation. 15 + -15 + 9x = -54 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = -54 + -15 9x = -54 + -15 Combine like terms: -54 + -15 = -69 9x = -69 Divide each side by '9'. x = -7.666666667 Simplifying x = -7.666666667
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