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Simplifying 3x + 5(x + -2) + a = 9x + 13 Reorder the terms: 3x + 5(-2 + x) + a = 9x + 13 3x + (-2 * 5 + x * 5) + a = 9x + 13 3x + (-10 + 5x) + a = 9x + 13 Reorder the terms: -10 + a + 3x + 5x = 9x + 13 Combine like terms: 3x + 5x = 8x -10 + a + 8x = 9x + 13 Reorder the terms: -10 + a + 8x = 13 + 9x Solving -10 + a + 8x = 13 + 9x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + a + 10 + 8x = 13 + 10 + 9x Reorder the terms: -10 + 10 + a + 8x = 13 + 10 + 9x Combine like terms: -10 + 10 = 0 0 + a + 8x = 13 + 10 + 9x a + 8x = 13 + 10 + 9x Combine like terms: 13 + 10 = 23 a + 8x = 23 + 9x Add '-8x' to each side of the equation. a + 8x + -8x = 23 + 9x + -8x Combine like terms: 8x + -8x = 0 a + 0 = 23 + 9x + -8x a = 23 + 9x + -8x Combine like terms: 9x + -8x = 1x a = 23 + 1x Simplifying a = 23 + 1x
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