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Simplifying X + -5(x + 5(x + -5(x + 5))) = 49 Reorder the terms: X + -5(x + 5(x + -5(5 + x))) = 49 X + -5(x + 5(x + (5 * -5 + x * -5))) = 49 X + -5(x + 5(x + (-25 + -5x))) = 49 Reorder the terms: X + -5(x + 5(-25 + x + -5x)) = 49 Combine like terms: x + -5x = -4x X + -5(x + 5(-25 + -4x)) = 49 X + -5(x + (-25 * 5 + -4x * 5)) = 49 X + -5(x + (-125 + -20x)) = 49 Reorder the terms: X + -5(-125 + x + -20x) = 49 Combine like terms: x + -20x = -19x X + -5(-125 + -19x) = 49 X + (-125 * -5 + -19x * -5) = 49 X + (625 + 95x) = 49 Reorder the terms: 625 + X + 95x = 49 Solving 625 + X + 95x = 49 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-625' to each side of the equation. 625 + X + -625 + 95x = 49 + -625 Reorder the terms: 625 + -625 + X + 95x = 49 + -625 Combine like terms: 625 + -625 = 0 0 + X + 95x = 49 + -625 X + 95x = 49 + -625 Combine like terms: 49 + -625 = -576 X + 95x = -576 Add '-95x' to each side of the equation. X + 95x + -95x = -576 + -95x Combine like terms: 95x + -95x = 0 X + 0 = -576 + -95x X = -576 + -95x Simplifying X = -576 + -95x
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