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Simplifying 2x + -3(4 + -2(3x + 1)) = 14x + -7 Reorder the terms: 2x + -3(4 + -2(1 + 3x)) = 14x + -7 2x + -3(4 + (1 * -2 + 3x * -2)) = 14x + -7 2x + -3(4 + (-2 + -6x)) = 14x + -7 Combine like terms: 4 + -2 = 2 2x + -3(2 + -6x) = 14x + -7 2x + (2 * -3 + -6x * -3) = 14x + -7 2x + (-6 + 18x) = 14x + -7 Reorder the terms: -6 + 2x + 18x = 14x + -7 Combine like terms: 2x + 18x = 20x -6 + 20x = 14x + -7 Reorder the terms: -6 + 20x = -7 + 14x Solving -6 + 20x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 20x + -14x = -7 + 14x + -14x Combine like terms: 20x + -14x = 6x -6 + 6x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + 6x = -7 + 0 -6 + 6x = -7 Add '6' to each side of the equation. -6 + 6 + 6x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -7 + 6 6x = -7 + 6 Combine like terms: -7 + 6 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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