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Simplifying -7(5x + -6) = -3(-9x + -11) + 9 Reorder the terms: -7(-6 + 5x) = -3(-9x + -11) + 9 (-6 * -7 + 5x * -7) = -3(-9x + -11) + 9 (42 + -35x) = -3(-9x + -11) + 9 Reorder the terms: 42 + -35x = -3(-11 + -9x) + 9 42 + -35x = (-11 * -3 + -9x * -3) + 9 42 + -35x = (33 + 27x) + 9 Reorder the terms: 42 + -35x = 33 + 9 + 27x Combine like terms: 33 + 9 = 42 42 + -35x = 42 + 27x Add '-42' to each side of the equation. 42 + -42 + -35x = 42 + -42 + 27x Combine like terms: 42 + -42 = 0 0 + -35x = 42 + -42 + 27x -35x = 42 + -42 + 27x Combine like terms: 42 + -42 = 0 -35x = 0 + 27x -35x = 27x Solving -35x = 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -35x + -27x = 27x + -27x Combine like terms: -35x + -27x = -62x -62x = 27x + -27x Combine like terms: 27x + -27x = 0 -62x = 0 Divide each side by '-62'. x = 0 Simplifying x = 0
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