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Simplifying 5(9x + -31) = 5 + -5(x + 5) Reorder the terms: 5(-31 + 9x) = 5 + -5(x + 5) (-31 * 5 + 9x * 5) = 5 + -5(x + 5) (-155 + 45x) = 5 + -5(x + 5) Reorder the terms: -155 + 45x = 5 + -5(5 + x) -155 + 45x = 5 + (5 * -5 + x * -5) -155 + 45x = 5 + (-25 + -5x) Combine like terms: 5 + -25 = -20 -155 + 45x = -20 + -5x Solving -155 + 45x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -155 + 45x + 5x = -20 + -5x + 5x Combine like terms: 45x + 5x = 50x -155 + 50x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 -155 + 50x = -20 + 0 -155 + 50x = -20 Add '155' to each side of the equation. -155 + 155 + 50x = -20 + 155 Combine like terms: -155 + 155 = 0 0 + 50x = -20 + 155 50x = -20 + 155 Combine like terms: -20 + 155 = 135 50x = 135 Divide each side by '50'. x = 2.7 Simplifying x = 2.7
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