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Simplifying 80 * 0.90(x + -5) = 100 * 4.184(60 + -1x) Reorder the terms: 80 * 0.90(-5 + x) = 100 * 4.184(60 + -1x) Multiply 80 * 0.90 72(-5 + x) = 100 * 4.184(60 + -1x) (-5 * 72 + x * 72) = 100 * 4.184(60 + -1x) (-360 + 72x) = 100 * 4.184(60 + -1x) Multiply 100 * 4.184 -360 + 72x = 418.4(60 + -1x) -360 + 72x = (60 * 418.4 + -1x * 418.4) -360 + 72x = (25104 + -418.4x) Solving -360 + 72x = 25104 + -418.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '418.4x' to each side of the equation. -360 + 72x + 418.4x = 25104 + -418.4x + 418.4x Combine like terms: 72x + 418.4x = 490.4x -360 + 490.4x = 25104 + -418.4x + 418.4x Combine like terms: -418.4x + 418.4x = 0.0 -360 + 490.4x = 25104 + 0.0 -360 + 490.4x = 25104 Add '360' to each side of the equation. -360 + 360 + 490.4x = 25104 + 360 Combine like terms: -360 + 360 = 0 0 + 490.4x = 25104 + 360 490.4x = 25104 + 360 Combine like terms: 25104 + 360 = 25464 490.4x = 25464 Divide each side by '490.4'. x = 51.92495922 Simplifying x = 51.92495922
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