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Simplifying (5x + -4) + -1(3x + 1) = 0 Reorder the terms: (-4 + 5x) + -1(3x + 1) = 0 Remove parenthesis around (-4 + 5x) -4 + 5x + -1(3x + 1) = 0 Reorder the terms: -4 + 5x + -1(1 + 3x) = 0 -4 + 5x + (1 * -1 + 3x * -1) = 0 -4 + 5x + (-1 + -3x) = 0 Reorder the terms: -4 + -1 + 5x + -3x = 0 Combine like terms: -4 + -1 = -5 -5 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -5 + 2x = 0 Solving -5 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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