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Simplifying (5x + -2) + (3x + 1) = 0 Reorder the terms: (-2 + 5x) + (3x + 1) = 0 Remove parenthesis around (-2 + 5x) -2 + 5x + (3x + 1) = 0 Reorder the terms: -2 + 5x + (1 + 3x) = 0 Remove parenthesis around (1 + 3x) -2 + 5x + 1 + 3x = 0 Reorder the terms: -2 + 1 + 5x + 3x = 0 Combine like terms: -2 + 1 = -1 -1 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -1 + 8x = 0 Solving -1 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 0 + 1 8x = 0 + 1 Combine like terms: 0 + 1 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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