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Simplifying 4(x + 10) + 11(12x + 1) = -85 Reorder the terms: 4(10 + x) + 11(12x + 1) = -85 (10 * 4 + x * 4) + 11(12x + 1) = -85 (40 + 4x) + 11(12x + 1) = -85 Reorder the terms: 40 + 4x + 11(1 + 12x) = -85 40 + 4x + (1 * 11 + 12x * 11) = -85 40 + 4x + (11 + 132x) = -85 Reorder the terms: 40 + 11 + 4x + 132x = -85 Combine like terms: 40 + 11 = 51 51 + 4x + 132x = -85 Combine like terms: 4x + 132x = 136x 51 + 136x = -85 Solving 51 + 136x = -85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 136x = -85 + -51 Combine like terms: 51 + -51 = 0 0 + 136x = -85 + -51 136x = -85 + -51 Combine like terms: -85 + -51 = -136 136x = -136 Divide each side by '136'. x = -1 Simplifying x = -1
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