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Simplifying 16(X + 7) = 8(X + 1) Reorder the terms: 16(7 + X) = 8(X + 1) (7 * 16 + X * 16) = 8(X + 1) (112 + 16X) = 8(X + 1) Reorder the terms: 112 + 16X = 8(1 + X) 112 + 16X = (1 * 8 + X * 8) 112 + 16X = (8 + 8X) Solving 112 + 16X = 8 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 112 + 16X + -8X = 8 + 8X + -8X Combine like terms: 16X + -8X = 8X 112 + 8X = 8 + 8X + -8X Combine like terms: 8X + -8X = 0 112 + 8X = 8 + 0 112 + 8X = 8 Add '-112' to each side of the equation. 112 + -112 + 8X = 8 + -112 Combine like terms: 112 + -112 = 0 0 + 8X = 8 + -112 8X = 8 + -112 Combine like terms: 8 + -112 = -104 8X = -104 Divide each side by '8'. X = -13 Simplifying X = -13
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