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Simplifying (5x + -2) + -1(3x + 1) = 0 Reorder the terms: (-2 + 5x) + -1(3x + 1) = 0 Remove parenthesis around (-2 + 5x) -2 + 5x + -1(3x + 1) = 0 Reorder the terms: -2 + 5x + -1(1 + 3x) = 0 -2 + 5x + (1 * -1 + 3x * -1) = 0 -2 + 5x + (-1 + -3x) = 0 Reorder the terms: -2 + -1 + 5x + -3x = 0 Combine like terms: -2 + -1 = -3 -3 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -3 + 2x = 0 Solving -3 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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