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Simplifying 4 + -1(5X + 7) = 6 + -1(X + -3) Reorder the terms: 4 + -1(7 + 5X) = 6 + -1(X + -3) 4 + (7 * -1 + 5X * -1) = 6 + -1(X + -3) 4 + (-7 + -5X) = 6 + -1(X + -3) Combine like terms: 4 + -7 = -3 -3 + -5X = 6 + -1(X + -3) Reorder the terms: -3 + -5X = 6 + -1(-3 + X) -3 + -5X = 6 + (-3 * -1 + X * -1) -3 + -5X = 6 + (3 + -1X) Combine like terms: 6 + 3 = 9 -3 + -5X = 9 + -1X Solving -3 + -5X = 9 + -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. -3 + -5X + X = 9 + -1X + X Combine like terms: -5X + X = -4X -3 + -4X = 9 + -1X + X Combine like terms: -1X + X = 0 -3 + -4X = 9 + 0 -3 + -4X = 9 Add '3' to each side of the equation. -3 + 3 + -4X = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -4X = 9 + 3 -4X = 9 + 3 Combine like terms: 9 + 3 = 12 -4X = 12 Divide each side by '-4'. X = -3 Simplifying X = -3
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