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Simplifying (40x + -78) + -1(3x + 5) = 12 Reorder the terms: (-78 + 40x) + -1(3x + 5) = 12 Remove parenthesis around (-78 + 40x) -78 + 40x + -1(3x + 5) = 12 Reorder the terms: -78 + 40x + -1(5 + 3x) = 12 -78 + 40x + (5 * -1 + 3x * -1) = 12 -78 + 40x + (-5 + -3x) = 12 Reorder the terms: -78 + -5 + 40x + -3x = 12 Combine like terms: -78 + -5 = -83 -83 + 40x + -3x = 12 Combine like terms: 40x + -3x = 37x -83 + 37x = 12 Solving -83 + 37x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 83 + 37x = 12 + 83 Combine like terms: -83 + 83 = 0 0 + 37x = 12 + 83 37x = 12 + 83 Combine like terms: 12 + 83 = 95 37x = 95 Divide each side by '37'. x = 2.567567568 Simplifying x = 2.567567568
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