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Simplifying -6 + 9(-7x + -10) = 2(8x + -3) + 11x Reorder the terms: -6 + 9(-10 + -7x) = 2(8x + -3) + 11x -6 + (-10 * 9 + -7x * 9) = 2(8x + -3) + 11x -6 + (-90 + -63x) = 2(8x + -3) + 11x Combine like terms: -6 + -90 = -96 -96 + -63x = 2(8x + -3) + 11x Reorder the terms: -96 + -63x = 2(-3 + 8x) + 11x -96 + -63x = (-3 * 2 + 8x * 2) + 11x -96 + -63x = (-6 + 16x) + 11x Combine like terms: 16x + 11x = 27x -96 + -63x = -6 + 27x Solving -96 + -63x = -6 + 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. -96 + -63x + -27x = -6 + 27x + -27x Combine like terms: -63x + -27x = -90x -96 + -90x = -6 + 27x + -27x Combine like terms: 27x + -27x = 0 -96 + -90x = -6 + 0 -96 + -90x = -6 Add '96' to each side of the equation. -96 + 96 + -90x = -6 + 96 Combine like terms: -96 + 96 = 0 0 + -90x = -6 + 96 -90x = -6 + 96 Combine like terms: -6 + 96 = 90 -90x = 90 Divide each side by '-90'. x = -1 Simplifying x = -1
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