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Simplifying (X + -5) * 3 + (x + 3) * 5 = 1 Reorder the terms: (-5 + X) * 3 + (x + 3) * 5 = 1 Reorder the terms for easier multiplication: 3(-5 + X) + (x + 3) * 5 = 1 (-5 * 3 + X * 3) + (x + 3) * 5 = 1 (-15 + 3X) + (x + 3) * 5 = 1 Reorder the terms: -15 + 3X + (3 + x) * 5 = 1 Reorder the terms for easier multiplication: -15 + 3X + 5(3 + x) = 1 -15 + 3X + (3 * 5 + x * 5) = 1 -15 + 3X + (15 + 5x) = 1 Reorder the terms: -15 + 15 + 3X + 5x = 1 Combine like terms: -15 + 15 = 0 0 + 3X + 5x = 1 3X + 5x = 1 Solving 3X + 5x = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. 3X + 5x + -5x = 1 + -5x Combine like terms: 5x + -5x = 0 3X + 0 = 1 + -5x 3X = 1 + -5x Divide each side by '3'. X = 0.3333333333 + -1.666666667x Simplifying X = 0.3333333333 + -1.666666667x
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