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Simplifying 11(x + -6) + -6 = 31x + -232 Reorder the terms: 11(-6 + x) + -6 = 31x + -232 (-6 * 11 + x * 11) + -6 = 31x + -232 (-66 + 11x) + -6 = 31x + -232 Reorder the terms: -66 + -6 + 11x = 31x + -232 Combine like terms: -66 + -6 = -72 -72 + 11x = 31x + -232 Reorder the terms: -72 + 11x = -232 + 31x Solving -72 + 11x = -232 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -72 + 11x + -31x = -232 + 31x + -31x Combine like terms: 11x + -31x = -20x -72 + -20x = -232 + 31x + -31x Combine like terms: 31x + -31x = 0 -72 + -20x = -232 + 0 -72 + -20x = -232 Add '72' to each side of the equation. -72 + 72 + -20x = -232 + 72 Combine like terms: -72 + 72 = 0 0 + -20x = -232 + 72 -20x = -232 + 72 Combine like terms: -232 + 72 = -160 -20x = -160 Divide each side by '-20'. x = 8 Simplifying x = 8
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