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(3x-7)-(x-7)/4+(3x+5)/2=1
We simplify the equation to the form, which is simple to understand
(3x-7)-(x-7)/4+(3x+5)/2=1
Remove unnecessary parentheses
3x-7-(x-7)/4+(3x+5)/2=1
Reorder the terms in parentheses
3x-7-( + 0.25x-1.75)+(3x+5)/2=1
Remove unnecessary parentheses
3x-7-0.25x+1.75+(3x+5)/2=1
Reorder the terms in parentheses
3x-7-0.25x+1.75+(+1.5x+2.5)=1
Remove unnecessary parentheses
+3x-7-0.25x+1.75+1.5x+2.5=+1
We move all terms containing x to the left and all other terms to the right.
+3x-0.25x+1.5x=+1+7-1.75-2.5
We simplify left and right side of the equation.
+4.25x=+3.75
We divide both sides of the equation by 4.25 to get x.
x=0.88235294117647
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