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Simplifying X + 4(X + -1) = 9 + -2(X + 3) Reorder the terms: X + 4(-1 + X) = 9 + -2(X + 3) X + (-1 * 4 + X * 4) = 9 + -2(X + 3) X + (-4 + 4X) = 9 + -2(X + 3) Reorder the terms: -4 + X + 4X = 9 + -2(X + 3) Combine like terms: X + 4X = 5X -4 + 5X = 9 + -2(X + 3) Reorder the terms: -4 + 5X = 9 + -2(3 + X) -4 + 5X = 9 + (3 * -2 + X * -2) -4 + 5X = 9 + (-6 + -2X) Combine like terms: 9 + -6 = 3 -4 + 5X = 3 + -2X Solving -4 + 5X = 3 + -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. -4 + 5X + 2X = 3 + -2X + 2X Combine like terms: 5X + 2X = 7X -4 + 7X = 3 + -2X + 2X Combine like terms: -2X + 2X = 0 -4 + 7X = 3 + 0 -4 + 7X = 3 Add '4' to each side of the equation. -4 + 4 + 7X = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7X = 3 + 4 7X = 3 + 4 Combine like terms: 3 + 4 = 7 7X = 7 Divide each side by '7'. X = 1 Simplifying X = 1
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