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Simplifying (2a + 9)(x + -7) = 4x + 18 Reorder the terms: (9 + 2a)(x + -7) = 4x + 18 Reorder the terms: (9 + 2a)(-7 + x) = 4x + 18 Multiply (9 + 2a) * (-7 + x) (9(-7 + x) + 2a * (-7 + x)) = 4x + 18 ((-7 * 9 + x * 9) + 2a * (-7 + x)) = 4x + 18 ((-63 + 9x) + 2a * (-7 + x)) = 4x + 18 (-63 + 9x + (-7 * 2a + x * 2a)) = 4x + 18 (-63 + 9x + (-14a + 2ax)) = 4x + 18 Reorder the terms: (-63 + -14a + 2ax + 9x) = 4x + 18 (-63 + -14a + 2ax + 9x) = 4x + 18 Reorder the terms: -63 + -14a + 2ax + 9x = 18 + 4x Solving -63 + -14a + 2ax + 9x = 18 + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '63' to each side of the equation. -63 + -14a + 2ax + 63 + 9x = 18 + 63 + 4x Reorder the terms: -63 + 63 + -14a + 2ax + 9x = 18 + 63 + 4x Combine like terms: -63 + 63 = 0 0 + -14a + 2ax + 9x = 18 + 63 + 4x -14a + 2ax + 9x = 18 + 63 + 4x Combine like terms: 18 + 63 = 81 -14a + 2ax + 9x = 81 + 4x Add '-9x' to each side of the equation. -14a + 2ax + 9x + -9x = 81 + 4x + -9x Combine like terms: 9x + -9x = 0 -14a + 2ax + 0 = 81 + 4x + -9x -14a + 2ax = 81 + 4x + -9x Combine like terms: 4x + -9x = -5x -14a + 2ax = 81 + -5x Reorder the terms: -81 + -14a + 2ax + 5x = 81 + -5x + -81 + 5x Reorder the terms: -81 + -14a + 2ax + 5x = 81 + -81 + -5x + 5x Combine like terms: 81 + -81 = 0 -81 + -14a + 2ax + 5x = 0 + -5x + 5x -81 + -14a + 2ax + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -81 + -14a + 2ax + 5x = 0 The solution to this equation could not be determined.
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