1) \( 3 x+25 x=21-74 x-7 \)

To solve the equation \( 3x + 25x = 21 - 74x - 7 \), start by combining like terms on the left side. This gives us \( 28x = 21 - 74x - 7 \). Now, simplify the right side: \( 21 - 7 = 14 \), so the equation becomes \( 28x = 14 - 74x \). Next, bring the \( 74x \) to the left side by adding \( 74x \) to both sides: \( 28x + 74x = 14 \), which simplifies to \( 102x = 14 \). Finally, divide both sides by \( 102 \) to solve for \( x \): \[ x = \frac{14}{102} \] Simplifying this fraction gives \( x = \frac{7}{51} \). So, the final answer is \( x = \frac{7}{51} \).