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Simplifying 457(36x + -99) = 34(28x + -239) Reorder the terms: 457(-99 + 36x) = 34(28x + -239) (-99 * 457 + 36x * 457) = 34(28x + -239) (-45243 + 16452x) = 34(28x + -239) Reorder the terms: -45243 + 16452x = 34(-239 + 28x) -45243 + 16452x = (-239 * 34 + 28x * 34) -45243 + 16452x = (-8126 + 952x) Solving -45243 + 16452x = -8126 + 952x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-952x' to each side of the equation. -45243 + 16452x + -952x = -8126 + 952x + -952x Combine like terms: 16452x + -952x = 15500x -45243 + 15500x = -8126 + 952x + -952x Combine like terms: 952x + -952x = 0 -45243 + 15500x = -8126 + 0 -45243 + 15500x = -8126 Add '45243' to each side of the equation. -45243 + 45243 + 15500x = -8126 + 45243 Combine like terms: -45243 + 45243 = 0 0 + 15500x = -8126 + 45243 15500x = -8126 + 45243 Combine like terms: -8126 + 45243 = 37117 15500x = 37117 Divide each side by '15500'. x = 2.394645161 Simplifying x = 2.394645161
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