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Simplifying -7(X + 2) + 3x + 6 = 7x + 12 Reorder the terms: -7(2 + X) + 3x + 6 = 7x + 12 (2 * -7 + X * -7) + 3x + 6 = 7x + 12 (-14 + -7X) + 3x + 6 = 7x + 12 Reorder the terms: -14 + 6 + -7X + 3x = 7x + 12 Combine like terms: -14 + 6 = -8 -8 + -7X + 3x = 7x + 12 Reorder the terms: -8 + -7X + 3x = 12 + 7x Solving -8 + -7X + 3x = 12 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -7X + 8 + 3x = 12 + 8 + 7x Reorder the terms: -8 + 8 + -7X + 3x = 12 + 8 + 7x Combine like terms: -8 + 8 = 0 0 + -7X + 3x = 12 + 8 + 7x -7X + 3x = 12 + 8 + 7x Combine like terms: 12 + 8 = 20 -7X + 3x = 20 + 7x Add '-3x' to each side of the equation. -7X + 3x + -3x = 20 + 7x + -3x Combine like terms: 3x + -3x = 0 -7X + 0 = 20 + 7x + -3x -7X = 20 + 7x + -3x Combine like terms: 7x + -3x = 4x -7X = 20 + 4x Divide each side by '-7'. X = -2.857142857 + -0.5714285714x Simplifying X = -2.857142857 + -0.5714285714x
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