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Simplifying 4(X + 4) = 6(X + 7) Reorder the terms: 4(4 + X) = 6(X + 7) (4 * 4 + X * 4) = 6(X + 7) (16 + 4X) = 6(X + 7) Reorder the terms: 16 + 4X = 6(7 + X) 16 + 4X = (7 * 6 + X * 6) 16 + 4X = (42 + 6X) Solving 16 + 4X = 42 + 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. 16 + 4X + -6X = 42 + 6X + -6X Combine like terms: 4X + -6X = -2X 16 + -2X = 42 + 6X + -6X Combine like terms: 6X + -6X = 0 16 + -2X = 42 + 0 16 + -2X = 42 Add '-16' to each side of the equation. 16 + -16 + -2X = 42 + -16 Combine like terms: 16 + -16 = 0 0 + -2X = 42 + -16 -2X = 42 + -16 Combine like terms: 42 + -16 = 26 -2X = 26 Divide each side by '-2'. X = -13 Simplifying X = -13
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