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Simplifying 3(x + -4) + 2a = 5x + 4 Reorder the terms: 3(-4 + x) + 2a = 5x + 4 (-4 * 3 + x * 3) + 2a = 5x + 4 (-12 + 3x) + 2a = 5x + 4 Reorder the terms: -12 + 2a + 3x = 5x + 4 Reorder the terms: -12 + 2a + 3x = 4 + 5x Solving -12 + 2a + 3x = 4 + 5x 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 + 2a + 12 + 3x = 4 + 12 + 5x Reorder the terms: -12 + 12 + 2a + 3x = 4 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + 2a + 3x = 4 + 12 + 5x 2a + 3x = 4 + 12 + 5x Combine like terms: 4 + 12 = 16 2a + 3x = 16 + 5x Add '-3x' to each side of the equation. 2a + 3x + -3x = 16 + 5x + -3x Combine like terms: 3x + -3x = 0 2a + 0 = 16 + 5x + -3x 2a = 16 + 5x + -3x Combine like terms: 5x + -3x = 2x 2a = 16 + 2x Divide each side by '2'. a = 8 + x Simplifying a = 8 + x
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