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Simplifying (8x + 21) + (10x + -1) + (7x + -6) = x Reorder the terms: (21 + 8x) + (10x + -1) + (7x + -6) = x Remove parenthesis around (21 + 8x) 21 + 8x + (10x + -1) + (7x + -6) = x Reorder the terms: 21 + 8x + (-1 + 10x) + (7x + -6) = x Remove parenthesis around (-1 + 10x) 21 + 8x + -1 + 10x + (7x + -6) = x Reorder the terms: 21 + 8x + -1 + 10x + (-6 + 7x) = x Remove parenthesis around (-6 + 7x) 21 + 8x + -1 + 10x + -6 + 7x = x Reorder the terms: 21 + -1 + -6 + 8x + 10x + 7x = x Combine like terms: 21 + -1 = 20 20 + -6 + 8x + 10x + 7x = x Combine like terms: 20 + -6 = 14 14 + 8x + 10x + 7x = x Combine like terms: 8x + 10x = 18x 14 + 18x + 7x = x Combine like terms: 18x + 7x = 25x 14 + 25x = x Solving 14 + 25x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + 25x + -1x = x + -1x Combine like terms: 25x + -1x = 24x 14 + 24x = x + -1x Combine like terms: x + -1x = 0 14 + 24x = 0 Add '-14' to each side of the equation. 14 + -14 + 24x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 24x = 0 + -14 24x = 0 + -14 Combine like terms: 0 + -14 = -14 24x = -14 Divide each side by '24'. x = -0.5833333333 Simplifying x = -0.5833333333
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