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Simplifying 5(2x + -3) + 7a(2x + -5) = 46 Reorder the terms: 5(-3 + 2x) + 7a(2x + -5) = 46 (-3 * 5 + 2x * 5) + 7a(2x + -5) = 46 (-15 + 10x) + 7a(2x + -5) = 46 Reorder the terms: -15 + 10x + 7a(-5 + 2x) = 46 -15 + 10x + (-5 * 7a + 2x * 7a) = 46 -15 + 10x + (-35a + 14ax) = 46 Reorder the terms: -15 + -35a + 14ax + 10x = 46 Solving -15 + -35a + 14ax + 10x = 46 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -35a + 14ax + 15 + 10x = 46 + 15 Reorder the terms: -15 + 15 + -35a + 14ax + 10x = 46 + 15 Combine like terms: -15 + 15 = 0 0 + -35a + 14ax + 10x = 46 + 15 -35a + 14ax + 10x = 46 + 15 Combine like terms: 46 + 15 = 61 -35a + 14ax + 10x = 61 Add '-10x' to each side of the equation. -35a + 14ax + 10x + -10x = 61 + -10x Combine like terms: 10x + -10x = 0 -35a + 14ax + 0 = 61 + -10x -35a + 14ax = 61 + -10x Reorder the terms: -61 + -35a + 14ax + 10x = 61 + -10x + -61 + 10x Reorder the terms: -61 + -35a + 14ax + 10x = 61 + -61 + -10x + 10x Combine like terms: 61 + -61 = 0 -61 + -35a + 14ax + 10x = 0 + -10x + 10x -61 + -35a + 14ax + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 -61 + -35a + 14ax + 10x = 0 The solution to this equation could not be determined.
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