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Simplifying 8x + 9(-27 + 5y) = -31 8x + (-27 * 9 + 5y * 9) = -31 8x + (-243 + 45y) = -31 Reorder the terms: -243 + 8x + 45y = -31 Solving -243 + 8x + 45y = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '243' to each side of the equation. -243 + 8x + 243 + 45y = -31 + 243 Reorder the terms: -243 + 243 + 8x + 45y = -31 + 243 Combine like terms: -243 + 243 = 0 0 + 8x + 45y = -31 + 243 8x + 45y = -31 + 243 Combine like terms: -31 + 243 = 212 8x + 45y = 212 Add '-45y' to each side of the equation. 8x + 45y + -45y = 212 + -45y Combine like terms: 45y + -45y = 0 8x + 0 = 212 + -45y 8x = 212 + -45y Divide each side by '8'. x = 26.5 + -5.625y Simplifying x = 26.5 + -5.625y
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