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Simplifying 5(x + -11) + -6 = 31x + -243 Reorder the terms: 5(-11 + x) + -6 = 31x + -243 (-11 * 5 + x * 5) + -6 = 31x + -243 (-55 + 5x) + -6 = 31x + -243 Reorder the terms: -55 + -6 + 5x = 31x + -243 Combine like terms: -55 + -6 = -61 -61 + 5x = 31x + -243 Reorder the terms: -61 + 5x = -243 + 31x Solving -61 + 5x = -243 + 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. -61 + 5x + -31x = -243 + 31x + -31x Combine like terms: 5x + -31x = -26x -61 + -26x = -243 + 31x + -31x Combine like terms: 31x + -31x = 0 -61 + -26x = -243 + 0 -61 + -26x = -243 Add '61' to each side of the equation. -61 + 61 + -26x = -243 + 61 Combine like terms: -61 + 61 = 0 0 + -26x = -243 + 61 -26x = -243 + 61 Combine like terms: -243 + 61 = -182 -26x = -182 Divide each side by '-26'. x = 7 Simplifying x = 7
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