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Simplifying 4x + -7(2 + -1x) = 3x + 2 4x + (2 * -7 + -1x * -7) = 3x + 2 4x + (-14 + 7x) = 3x + 2 Reorder the terms: -14 + 4x + 7x = 3x + 2 Combine like terms: 4x + 7x = 11x -14 + 11x = 3x + 2 Reorder the terms: -14 + 11x = 2 + 3x Solving -14 + 11x = 2 + 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. -14 + 11x + -3x = 2 + 3x + -3x Combine like terms: 11x + -3x = 8x -14 + 8x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 8x = 2 + 0 -14 + 8x = 2 Add '14' to each side of the equation. -14 + 14 + 8x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 2 + 14 8x = 2 + 14 Combine like terms: 2 + 14 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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