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Simplifying 4X + 2 + 7X + -27 = 3(X + 7) Reorder the terms: 2 + -27 + 4X + 7X = 3(X + 7) Combine like terms: 2 + -27 = -25 -25 + 4X + 7X = 3(X + 7) Combine like terms: 4X + 7X = 11X -25 + 11X = 3(X + 7) Reorder the terms: -25 + 11X = 3(7 + X) -25 + 11X = (7 * 3 + X * 3) -25 + 11X = (21 + 3X) Solving -25 + 11X = 21 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -25 + 11X + -3X = 21 + 3X + -3X Combine like terms: 11X + -3X = 8X -25 + 8X = 21 + 3X + -3X Combine like terms: 3X + -3X = 0 -25 + 8X = 21 + 0 -25 + 8X = 21 Add '25' to each side of the equation. -25 + 25 + 8X = 21 + 25 Combine like terms: -25 + 25 = 0 0 + 8X = 21 + 25 8X = 21 + 25 Combine like terms: 21 + 25 = 46 8X = 46 Divide each side by '8'. X = 5.75 Simplifying X = 5.75
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