To solve the equation \( 11x = 3(7x - 1) - 10x \), let's simplify it step by step.
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Distributing \( 3 \) on the right side: \[ 3(7x - 1) = 21x - 3 \] So, the equation now reads: \[ 11x = 21x - 3 - 10x \]
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Combine like terms on the right side: \[ 21x - 10x = 11x \] Thus, the equation simplifies to: \[ 11x = 11x - 3 \]
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To isolate \( x \), subtract \( 11x \) from both sides: \[ 11x - 11x = 11x - 11x - 3 \] This results in: \[ 0 = -3 \]
Since \( 0 = -3 \) is a false statement, this means there are no solutions to the equation.
Therefore, the answer is: The equation has no solution.