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Simplifying 3x + 5(3 + -1x) + a = 22 + -5x 3x + (3 * 5 + -1x * 5) + a = 22 + -5x 3x + (15 + -5x) + a = 22 + -5x Reorder the terms: 15 + a + 3x + -5x = 22 + -5x Combine like terms: 3x + -5x = -2x 15 + a + -2x = 22 + -5x Solving 15 + a + -2x = 22 + -5x 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 + a + -15 + -2x = 22 + -15 + -5x Reorder the terms: 15 + -15 + a + -2x = 22 + -15 + -5x Combine like terms: 15 + -15 = 0 0 + a + -2x = 22 + -15 + -5x a + -2x = 22 + -15 + -5x Combine like terms: 22 + -15 = 7 a + -2x = 7 + -5x Add '2x' to each side of the equation. a + -2x + 2x = 7 + -5x + 2x Combine like terms: -2x + 2x = 0 a + 0 = 7 + -5x + 2x a = 7 + -5x + 2x Combine like terms: -5x + 2x = -3x a = 7 + -3x Simplifying a = 7 + -3x
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