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Simplifying a(x + 11) + 5(13 + -1x) = 0 Reorder the terms: a(11 + x) + 5(13 + -1x) = 0 (11 * a + x * a) + 5(13 + -1x) = 0 (11a + ax) + 5(13 + -1x) = 0 11a + ax + (13 * 5 + -1x * 5) = 0 11a + ax + (65 + -5x) = 0 Reorder the terms: 65 + 11a + ax + -5x = 0 Solving 65 + 11a + ax + -5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + 11a + ax + -65 + -5x = 0 + -65 Reorder the terms: 65 + -65 + 11a + ax + -5x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 11a + ax + -5x = 0 + -65 11a + ax + -5x = 0 + -65 Combine like terms: 0 + -65 = -65 11a + ax + -5x = -65 Add '5x' to each side of the equation. 11a + ax + -5x + 5x = -65 + 5x Combine like terms: -5x + 5x = 0 11a + ax + 0 = -65 + 5x 11a + ax = -65 + 5x Reorder the terms: 65 + 11a + ax + -5x = -65 + 5x + 65 + -5x Reorder the terms: 65 + 11a + ax + -5x = -65 + 65 + 5x + -5x Combine like terms: -65 + 65 = 0 65 + 11a + ax + -5x = 0 + 5x + -5x 65 + 11a + ax + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 65 + 11a + ax + -5x = 0 The solution to this equation could not be determined.
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