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Simplifying 5(x + a) = -2(2x + 3a) Reorder the terms: 5(a + x) = -2(2x + 3a) (a * 5 + x * 5) = -2(2x + 3a) (5a + 5x) = -2(2x + 3a) Reorder the terms: 5a + 5x = -2(3a + 2x) 5a + 5x = (3a * -2 + 2x * -2) 5a + 5x = (-6a + -4x) Solving 5a + 5x = -6a + -4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 5a + 6a + 5x = -6a + 6a + -4x Combine like terms: 5a + 6a = 11a 11a + 5x = -6a + 6a + -4x Combine like terms: -6a + 6a = 0 11a + 5x = 0 + -4x 11a + 5x = -4x Add '-5x' to each side of the equation. 11a + 5x + -5x = -4x + -5x Combine like terms: 5x + -5x = 0 11a + 0 = -4x + -5x 11a = -4x + -5x Combine like terms: -4x + -5x = -9x 11a = -9x Divide each side by '11'. a = -0.8181818182x Simplifying a = -0.8181818182x
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