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Simplifying 4x + -7(2 + -3x) = 3x + 6 4x + (2 * -7 + -3x * -7) = 3x + 6 4x + (-14 + 21x) = 3x + 6 Reorder the terms: -14 + 4x + 21x = 3x + 6 Combine like terms: 4x + 21x = 25x -14 + 25x = 3x + 6 Reorder the terms: -14 + 25x = 6 + 3x Solving -14 + 25x = 6 + 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 + 25x + -3x = 6 + 3x + -3x Combine like terms: 25x + -3x = 22x -14 + 22x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 22x = 6 + 0 -14 + 22x = 6 Add '14' to each side of the equation. -14 + 14 + 22x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 22x = 6 + 14 22x = 6 + 14 Combine like terms: 6 + 14 = 20 22x = 20 Divide each side by '22'. x = 0.9090909091 Simplifying x = 0.9090909091
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