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Simplifying 4(X + 1) = 6(X + -1) Reorder the terms: 4(1 + X) = 6(X + -1) (1 * 4 + X * 4) = 6(X + -1) (4 + 4X) = 6(X + -1) Reorder the terms: 4 + 4X = 6(-1 + X) 4 + 4X = (-1 * 6 + X * 6) 4 + 4X = (-6 + 6X) Solving 4 + 4X = -6 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 4 + 4X + -6X = -6 + 6X + -6X Combine like terms: 4X + -6X = -2X 4 + -2X = -6 + 6X + -6X Combine like terms: 6X + -6X = 0 4 + -2X = -6 + 0 4 + -2X = -6 Add '-4' to each side of the equation. 4 + -4 + -2X = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2X = -6 + -4 -2X = -6 + -4 Combine like terms: -6 + -4 = -10 -2X = -10 Divide each side by '-2'. X = 5 Simplifying X = 5
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