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Simplifying 6 + 5(X + -5) = 2 + -2(X + -5) Reorder the terms: 6 + 5(-5 + X) = 2 + -2(X + -5) 6 + (-5 * 5 + X * 5) = 2 + -2(X + -5) 6 + (-25 + 5X) = 2 + -2(X + -5) Combine like terms: 6 + -25 = -19 -19 + 5X = 2 + -2(X + -5) Reorder the terms: -19 + 5X = 2 + -2(-5 + X) -19 + 5X = 2 + (-5 * -2 + X * -2) -19 + 5X = 2 + (10 + -2X) Combine like terms: 2 + 10 = 12 -19 + 5X = 12 + -2X Solving -19 + 5X = 12 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. -19 + 5X + 2X = 12 + -2X + 2X Combine like terms: 5X + 2X = 7X -19 + 7X = 12 + -2X + 2X Combine like terms: -2X + 2X = 0 -19 + 7X = 12 + 0 -19 + 7X = 12 Add '19' to each side of the equation. -19 + 19 + 7X = 12 + 19 Combine like terms: -19 + 19 = 0 0 + 7X = 12 + 19 7X = 12 + 19 Combine like terms: 12 + 19 = 31 7X = 31 Divide each side by '7'. X = 4.428571429 Simplifying X = 4.428571429
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