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Simplifying 9(4x + -8) + -1(x + 3) = 5(x + 9) + 5 Reorder the terms: 9(-8 + 4x) + -1(x + 3) = 5(x + 9) + 5 (-8 * 9 + 4x * 9) + -1(x + 3) = 5(x + 9) + 5 (-72 + 36x) + -1(x + 3) = 5(x + 9) + 5 Reorder the terms: -72 + 36x + -1(3 + x) = 5(x + 9) + 5 -72 + 36x + (3 * -1 + x * -1) = 5(x + 9) + 5 -72 + 36x + (-3 + -1x) = 5(x + 9) + 5 Reorder the terms: -72 + -3 + 36x + -1x = 5(x + 9) + 5 Combine like terms: -72 + -3 = -75 -75 + 36x + -1x = 5(x + 9) + 5 Combine like terms: 36x + -1x = 35x -75 + 35x = 5(x + 9) + 5 Reorder the terms: -75 + 35x = 5(9 + x) + 5 -75 + 35x = (9 * 5 + x * 5) + 5 -75 + 35x = (45 + 5x) + 5 Reorder the terms: -75 + 35x = 45 + 5 + 5x Combine like terms: 45 + 5 = 50 -75 + 35x = 50 + 5x Solving -75 + 35x = 50 + 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. -75 + 35x + -5x = 50 + 5x + -5x Combine like terms: 35x + -5x = 30x -75 + 30x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -75 + 30x = 50 + 0 -75 + 30x = 50 Add '75' to each side of the equation. -75 + 75 + 30x = 50 + 75 Combine like terms: -75 + 75 = 0 0 + 30x = 50 + 75 30x = 50 + 75 Combine like terms: 50 + 75 = 125 30x = 125 Divide each side by '30'. x = 4.166666667 Simplifying x = 4.166666667
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