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Simplifying 10x + 5(a + -3) = 15 Reorder the terms: 10x + 5(-3 + a) = 15 10x + (-3 * 5 + a * 5) = 15 10x + (-15 + 5a) = 15 Reorder the terms: -15 + 5a + 10x = 15 Solving -15 + 5a + 10x = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5a + 15 + 10x = 15 + 15 Reorder the terms: -15 + 15 + 5a + 10x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 5a + 10x = 15 + 15 5a + 10x = 15 + 15 Combine like terms: 15 + 15 = 30 5a + 10x = 30 Add '-10x' to each side of the equation. 5a + 10x + -10x = 30 + -10x Combine like terms: 10x + -10x = 0 5a + 0 = 30 + -10x 5a = 30 + -10x Divide each side by '5'. a = 6 + -2x Simplifying a = 6 + -2x
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