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Simplifying 10a + 8 + -6x + -3 = 5 + -4x + 6 Reorder the terms: 8 + -3 + 10a + -6x = 5 + -4x + 6 Combine like terms: 8 + -3 = 5 5 + 10a + -6x = 5 + -4x + 6 Reorder the terms: 5 + 10a + -6x = 5 + 6 + -4x Combine like terms: 5 + 6 = 11 5 + 10a + -6x = 11 + -4x Solving 5 + 10a + -6x = 11 + -4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10a + -5 + -6x = 11 + -5 + -4x Reorder the terms: 5 + -5 + 10a + -6x = 11 + -5 + -4x Combine like terms: 5 + -5 = 0 0 + 10a + -6x = 11 + -5 + -4x 10a + -6x = 11 + -5 + -4x Combine like terms: 11 + -5 = 6 10a + -6x = 6 + -4x Add '6x' to each side of the equation. 10a + -6x + 6x = 6 + -4x + 6x Combine like terms: -6x + 6x = 0 10a + 0 = 6 + -4x + 6x 10a = 6 + -4x + 6x Combine like terms: -4x + 6x = 2x 10a = 6 + 2x Divide each side by '10'. a = 0.6 + 0.2x Simplifying a = 0.6 + 0.2x
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