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Simplifying (5x + -1)(3 + x) = 5x2 + 3 Reorder the terms: (-1 + 5x)(3 + x) = 5x2 + 3 Multiply (-1 + 5x) * (3 + x) (-1(3 + x) + 5x * (3 + x)) = 5x2 + 3 ((3 * -1 + x * -1) + 5x * (3 + x)) = 5x2 + 3 ((-3 + -1x) + 5x * (3 + x)) = 5x2 + 3 (-3 + -1x + (3 * 5x + x * 5x)) = 5x2 + 3 (-3 + -1x + (15x + 5x2)) = 5x2 + 3 Combine like terms: -1x + 15x = 14x (-3 + 14x + 5x2) = 5x2 + 3 Reorder the terms: -3 + 14x + 5x2 = 3 + 5x2 Add '-5x2' to each side of the equation. -3 + 14x + 5x2 + -5x2 = 3 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3 + 14x + 0 = 3 + 5x2 + -5x2 -3 + 14x = 3 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3 + 14x = 3 + 0 -3 + 14x = 3 Solving -3 + 14x = 3 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 + 14x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = 3 + 3 14x = 3 + 3 Combine like terms: 3 + 3 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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