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Simplifying 3x + b + 2x + -2a + 10 = 50 Reorder the terms: 10 + -2a + b + 3x + 2x = 50 Combine like terms: 3x + 2x = 5x 10 + -2a + b + 5x = 50 Solving 10 + -2a + b + 5x = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2a + b + -10 + 5x = 50 + -10 Reorder the terms: 10 + -10 + -2a + b + 5x = 50 + -10 Combine like terms: 10 + -10 = 0 0 + -2a + b + 5x = 50 + -10 -2a + b + 5x = 50 + -10 Combine like terms: 50 + -10 = 40 -2a + b + 5x = 40 Add '-1b' to each side of the equation. -2a + b + -1b + 5x = 40 + -1b Combine like terms: b + -1b = 0 -2a + 0 + 5x = 40 + -1b -2a + 5x = 40 + -1b Add '-5x' to each side of the equation. -2a + 5x + -5x = 40 + -1b + -5x Combine like terms: 5x + -5x = 0 -2a + 0 = 40 + -1b + -5x -2a = 40 + -1b + -5x Divide each side by '-2'. a = -20 + 0.5b + 2.5x Simplifying a = -20 + 0.5b + 2.5x
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