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4\left(4x+7\right)-15\left(x-15\right)=420
Multiply both sides of the equation by 60, the least common multiple of 15,4.
16x+28-15\left(x-15\right)=420
Use the distributive property to multiply 4 by 4x+7.
16x+28-15x+225=420
Use the distributive property to multiply -15 by x-15.
x+28+225=420
Combine 16x and -15x to get x.
x+253=420
Add 28 and 225 to get 253.
x=420-253
Subtract 253 from both sides.
x=167
Subtract 253 from 420 to get 167.