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Simplifying 9(9x + -19) = 31(x + 2) Reorder the terms: 9(-19 + 9x) = 31(x + 2) (-19 * 9 + 9x * 9) = 31(x + 2) (-171 + 81x) = 31(x + 2) Reorder the terms: -171 + 81x = 31(2 + x) -171 + 81x = (2 * 31 + x * 31) -171 + 81x = (62 + 31x) Solving -171 + 81x = 62 + 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. -171 + 81x + -31x = 62 + 31x + -31x Combine like terms: 81x + -31x = 50x -171 + 50x = 62 + 31x + -31x Combine like terms: 31x + -31x = 0 -171 + 50x = 62 + 0 -171 + 50x = 62 Add '171' to each side of the equation. -171 + 171 + 50x = 62 + 171 Combine like terms: -171 + 171 = 0 0 + 50x = 62 + 171 50x = 62 + 171 Combine like terms: 62 + 171 = 233 50x = 233 Divide each side by '50'. x = 4.66 Simplifying x = 4.66
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