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Simplifying 3 + 2a + -7x + 2.5 + 5x = 0 Reorder the terms: 3 + 2.5 + 2a + -7x + 5x = 0 Combine like terms: 3 + 2.5 = 5.5 5.5 + 2a + -7x + 5x = 0 Combine like terms: -7x + 5x = -2x 5.5 + 2a + -2x = 0 Solving 5.5 + 2a + -2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + 2a + -5.5 + -2x = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + 2a + -2x = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 2a + -2x = 0 + -5.5 2a + -2x = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 2a + -2x = -5.5 Add '2x' to each side of the equation. 2a + -2x + 2x = -5.5 + 2x Combine like terms: -2x + 2x = 0 2a + 0 = -5.5 + 2x 2a = -5.5 + 2x Divide each side by '2'. a = -2.75 + x Simplifying a = -2.75 + x
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