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Simplifying 4(X + 8) = 7x + 5 + -3x + 27 Reorder the terms: 4(8 + X) = 7x + 5 + -3x + 27 (8 * 4 + X * 4) = 7x + 5 + -3x + 27 (32 + 4X) = 7x + 5 + -3x + 27 Reorder the terms: 32 + 4X = 5 + 27 + 7x + -3x Combine like terms: 5 + 27 = 32 32 + 4X = 32 + 7x + -3x Combine like terms: 7x + -3x = 4x 32 + 4X = 32 + 4x Add '-32' to each side of the equation. 32 + -32 + 4X = 32 + -32 + 4x Combine like terms: 32 + -32 = 0 0 + 4X = 32 + -32 + 4x 4X = 32 + -32 + 4x Combine like terms: 32 + -32 = 0 4X = 0 + 4x 4X = 4x Solving 4X = 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Divide each side by '4'. X = x Simplifying X = x
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