sentences:  Thatcher was fiercely committed to a new tax—commonly called the "poll tax"—that would apply in equal amounts to rich and poor alike, despite intense public opposition.Her inability to compromise undermined her leadership in the Conservative Party, which turned decisively against her.Thatcher sought to relieve what she considered the unfair burden of property tax on the property owning section of the population, and outlined a fundamental solution as her flagship policy in the Conservative manifesto for the 1987 election.