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Simplifying 2x + -1(4x + 3) + 2 = x + 1 Reorder the terms: 2x + -1(3 + 4x) + 2 = x + 1 2x + (3 * -1 + 4x * -1) + 2 = x + 1 2x + (-3 + -4x) + 2 = x + 1 Reorder the terms: -3 + 2 + 2x + -4x = x + 1 Combine like terms: -3 + 2 = -1 -1 + 2x + -4x = x + 1 Combine like terms: 2x + -4x = -2x -1 + -2x = x + 1 Reorder the terms: -1 + -2x = 1 + x Solving -1 + -2x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -2x + -1x = 1 + x + -1x Combine like terms: -2x + -1x = -3x -1 + -3x = 1 + x + -1x Combine like terms: x + -1x = 0 -1 + -3x = 1 + 0 -1 + -3x = 1 Add '1' to each side of the equation. -1 + 1 + -3x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 1 + 1 -3x = 1 + 1 Combine like terms: 1 + 1 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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