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Simplifying a(x + 8) + 12 = 8(x + 8) + 10 Reorder the terms: a(8 + x) + 12 = 8(x + 8) + 10 (8 * a + x * a) + 12 = 8(x + 8) + 10 (8a + ax) + 12 = 8(x + 8) + 10 Reorder the terms: 12 + 8a + ax = 8(x + 8) + 10 Reorder the terms: 12 + 8a + ax = 8(8 + x) + 10 12 + 8a + ax = (8 * 8 + x * 8) + 10 12 + 8a + ax = (64 + 8x) + 10 Reorder the terms: 12 + 8a + ax = 64 + 10 + 8x Combine like terms: 64 + 10 = 74 12 + 8a + ax = 74 + 8x Solving 12 + 8a + ax = 74 + 8x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8a + -12 + ax = 74 + -12 + 8x Reorder the terms: 12 + -12 + 8a + ax = 74 + -12 + 8x Combine like terms: 12 + -12 = 0 0 + 8a + ax = 74 + -12 + 8x 8a + ax = 74 + -12 + 8x Combine like terms: 74 + -12 = 62 8a + ax = 62 + 8x Reorder the terms: -62 + 8a + ax + -8x = 62 + 8x + -62 + -8x Reorder the terms: -62 + 8a + ax + -8x = 62 + -62 + 8x + -8x Combine like terms: 62 + -62 = 0 -62 + 8a + ax + -8x = 0 + 8x + -8x -62 + 8a + ax + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -62 + 8a + ax + -8x = 0 The solution to this equation could not be determined.
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