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Simplifying 3(x + -6) + 9(9x + -6) = 83(x + -1) + 10 Reorder the terms: 3(-6 + x) + 9(9x + -6) = 83(x + -1) + 10 (-6 * 3 + x * 3) + 9(9x + -6) = 83(x + -1) + 10 (-18 + 3x) + 9(9x + -6) = 83(x + -1) + 10 Reorder the terms: -18 + 3x + 9(-6 + 9x) = 83(x + -1) + 10 -18 + 3x + (-6 * 9 + 9x * 9) = 83(x + -1) + 10 -18 + 3x + (-54 + 81x) = 83(x + -1) + 10 Reorder the terms: -18 + -54 + 3x + 81x = 83(x + -1) + 10 Combine like terms: -18 + -54 = -72 -72 + 3x + 81x = 83(x + -1) + 10 Combine like terms: 3x + 81x = 84x -72 + 84x = 83(x + -1) + 10 Reorder the terms: -72 + 84x = 83(-1 + x) + 10 -72 + 84x = (-1 * 83 + x * 83) + 10 -72 + 84x = (-83 + 83x) + 10 Reorder the terms: -72 + 84x = -83 + 10 + 83x Combine like terms: -83 + 10 = -73 -72 + 84x = -73 + 83x Solving -72 + 84x = -73 + 83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83x' to each side of the equation. -72 + 84x + -83x = -73 + 83x + -83x Combine like terms: 84x + -83x = 1x -72 + 1x = -73 + 83x + -83x Combine like terms: 83x + -83x = 0 -72 + 1x = -73 + 0 -72 + 1x = -73 Add '72' to each side of the equation. -72 + 72 + 1x = -73 + 72 Combine like terms: -72 + 72 = 0 0 + 1x = -73 + 72 1x = -73 + 72 Combine like terms: -73 + 72 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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