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375\times 0.3+340\times 0.25+420\times 0.25+x=359
Multiply both sides of the equation by 5.
112.5+340\times 0.25+420\times 0.25+x=359
Multiply 375 and 0.3 to get 112.5.
112.5+85+420\times 0.25+x=359
Multiply 340 and 0.25 to get 85.
197.5+420\times 0.25+x=359
Add 112.5 and 85 to get 197.5.
197.5+105+x=359
Multiply 420 and 0.25 to get 105.
302.5+x=359
Add 197.5 and 105 to get 302.5.
x=359-302.5
Subtract 302.5 from both sides.
x=56.5
Subtract 302.5 from 359 to get 56.5.