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Simplifying c + -3 + 2a + -7x + 2.5 + 5x = 0 Reorder the terms: -3 + 2.5 + 2a + c + -7x + 5x = 0 Combine like terms: -3 + 2.5 = -0.5 -0.5 + 2a + c + -7x + 5x = 0 Combine like terms: -7x + 5x = -2x -0.5 + 2a + c + -2x = 0 Solving -0.5 + 2a + c + -2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 2a + c + 0.5 + -2x = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 2a + c + -2x = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2a + c + -2x = 0 + 0.5 2a + c + -2x = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 2a + c + -2x = 0.5 Add '-1c' to each side of the equation. 2a + c + -1c + -2x = 0.5 + -1c Combine like terms: c + -1c = 0 2a + 0 + -2x = 0.5 + -1c 2a + -2x = 0.5 + -1c Add '2x' to each side of the equation. 2a + -2x + 2x = 0.5 + -1c + 2x Combine like terms: -2x + 2x = 0 2a + 0 = 0.5 + -1c + 2x 2a = 0.5 + -1c + 2x Divide each side by '2'. a = 0.25 + -0.5c + x Simplifying a = 0.25 + -0.5c + x
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