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Simplifying 5(a + -1x) = 7a (a * 5 + -1x * 5) = 7a (5a + -5x) = 7a Solving 5a + -5x = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 5a + -7a + -5x = 7a + -7a Combine like terms: 5a + -7a = -2a -2a + -5x = 7a + -7a Combine like terms: 7a + -7a = 0 -2a + -5x = 0 Add '5x' to each side of the equation. -2a + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 -2a + 0 = 0 + 5x -2a = 0 + 5x Remove the zero: -2a = 5x Divide each side by '-2'. a = -2.5x Simplifying a = -2.5x
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