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Simplifying 5(x + -8) = 25(2x + 4) Reorder the terms: 5(-8 + x) = 25(2x + 4) (-8 * 5 + x * 5) = 25(2x + 4) (-40 + 5x) = 25(2x + 4) Reorder the terms: -40 + 5x = 25(4 + 2x) -40 + 5x = (4 * 25 + 2x * 25) -40 + 5x = (100 + 50x) Solving -40 + 5x = 100 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -40 + 5x + -50x = 100 + 50x + -50x Combine like terms: 5x + -50x = -45x -40 + -45x = 100 + 50x + -50x Combine like terms: 50x + -50x = 0 -40 + -45x = 100 + 0 -40 + -45x = 100 Add '40' to each side of the equation. -40 + 40 + -45x = 100 + 40 Combine like terms: -40 + 40 = 0 0 + -45x = 100 + 40 -45x = 100 + 40 Combine like terms: 100 + 40 = 140 -45x = 140 Divide each side by '-45'. x = -3.111111111 Simplifying x = -3.111111111
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