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Simplifying 4(x + -1a) + 3(x + a) = 2a Reorder the terms: 4(-1a + x) + 3(x + a) = 2a (-1a * 4 + x * 4) + 3(x + a) = 2a (-4a + 4x) + 3(x + a) = 2a Reorder the terms: -4a + 4x + 3(a + x) = 2a -4a + 4x + (a * 3 + x * 3) = 2a -4a + 4x + (3a + 3x) = 2a Reorder the terms: -4a + 3a + 4x + 3x = 2a Combine like terms: -4a + 3a = -1a -1a + 4x + 3x = 2a Combine like terms: 4x + 3x = 7x -1a + 7x = 2a Solving -1a + 7x = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -1a + -2a + 7x = 2a + -2a Combine like terms: -1a + -2a = -3a -3a + 7x = 2a + -2a Combine like terms: 2a + -2a = 0 -3a + 7x = 0 Add '-7x' to each side of the equation. -3a + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 -3a + 0 = 0 + -7x -3a = 0 + -7x Remove the zero: -3a = -7x Divide each side by '-3'. a = 2.333333333x Simplifying a = 2.333333333x
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