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Simplifying 2a + 2b + -48 = 3x + 1 Reorder the terms: -48 + 2a + 2b = 3x + 1 Reorder the terms: -48 + 2a + 2b = 1 + 3x Solving -48 + 2a + 2b = 1 + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 2a + 48 + 2b = 1 + 48 + 3x Reorder the terms: -48 + 48 + 2a + 2b = 1 + 48 + 3x Combine like terms: -48 + 48 = 0 0 + 2a + 2b = 1 + 48 + 3x 2a + 2b = 1 + 48 + 3x Combine like terms: 1 + 48 = 49 2a + 2b = 49 + 3x Add '-2b' to each side of the equation. 2a + 2b + -2b = 49 + -2b + 3x Combine like terms: 2b + -2b = 0 2a + 0 = 49 + -2b + 3x 2a = 49 + -2b + 3x Divide each side by '2'. a = 24.5 + -1b + 1.5x Simplifying a = 24.5 + -1b + 1.5x
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