What is the value of x? Enter your answer in the box.

x =
NOTE: Image not drawn to scale.

Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G equals 49 centimeters, G D equals 35 centimeters, D H equals left parenthesis x plus 1 right parenthesis centimeters, and E H equals 58.8 centimeters.