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To solve for x, we first need to combine the fractions on the left side of the equation:
10/3x + 4/3 = 7 + x/2x
Multiply both sides by 6x to get rid of the fractions:
20 + 8x = 42x + 3
Subtract 8x from both sides:
20 = 42x - 8x + 3
20 = 34x + 3
Subtract 3 from both sides:
17 = 34x
Divide by 34 to solve for x:
x = 17/34
x = 1/2
Therefore, x = 1/2.