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Simplifying 11(x + -2) + -9 = 29x + -85 Reorder the terms: 11(-2 + x) + -9 = 29x + -85 (-2 * 11 + x * 11) + -9 = 29x + -85 (-22 + 11x) + -9 = 29x + -85 Reorder the terms: -22 + -9 + 11x = 29x + -85 Combine like terms: -22 + -9 = -31 -31 + 11x = 29x + -85 Reorder the terms: -31 + 11x = -85 + 29x Solving -31 + 11x = -85 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -31 + 11x + -29x = -85 + 29x + -29x Combine like terms: 11x + -29x = -18x -31 + -18x = -85 + 29x + -29x Combine like terms: 29x + -29x = 0 -31 + -18x = -85 + 0 -31 + -18x = -85 Add '31' to each side of the equation. -31 + 31 + -18x = -85 + 31 Combine like terms: -31 + 31 = 0 0 + -18x = -85 + 31 -18x = -85 + 31 Combine like terms: -85 + 31 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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