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Simplifying 3x + -1(2x + 1) = 4x + -6 Reorder the terms: 3x + -1(1 + 2x) = 4x + -6 3x + (1 * -1 + 2x * -1) = 4x + -6 3x + (-1 + -2x) = 4x + -6 Reorder the terms: -1 + 3x + -2x = 4x + -6 Combine like terms: 3x + -2x = 1x -1 + 1x = 4x + -6 Reorder the terms: -1 + 1x = -6 + 4x Solving -1 + 1x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 1x + -4x = -6 + 4x + -4x Combine like terms: 1x + -4x = -3x -1 + -3x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -3x = -6 + 0 -1 + -3x = -6 Add '1' to each side of the equation. -1 + 1 + -3x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -6 + 1 -3x = -6 + 1 Combine like terms: -6 + 1 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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