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Simplifying 8x + 5(3 + x) + -1a = 15 + 5x 8x + (3 * 5 + x * 5) + -1a = 15 + 5x 8x + (15 + 5x) + -1a = 15 + 5x Reorder the terms: 15 + -1a + 8x + 5x = 15 + 5x Combine like terms: 8x + 5x = 13x 15 + -1a + 13x = 15 + 5x Add '-15' to each side of the equation. 15 + -1a + -15 + 13x = 15 + -15 + 5x Reorder the terms: 15 + -15 + -1a + 13x = 15 + -15 + 5x Combine like terms: 15 + -15 = 0 0 + -1a + 13x = 15 + -15 + 5x -1a + 13x = 15 + -15 + 5x Combine like terms: 15 + -15 = 0 -1a + 13x = 0 + 5x -1a + 13x = 5x Solving -1a + 13x = 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13x' to each side of the equation. -1a + 13x + -13x = 5x + -13x Combine like terms: 13x + -13x = 0 -1a + 0 = 5x + -13x -1a = 5x + -13x Combine like terms: 5x + -13x = -8x -1a = -8x Divide each side by '-1'. a = 8x Simplifying a = 8x
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