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Simplifying 4x + -2(1 + -1x) = 2(3 + -2) 4x + (1 * -2 + -1x * -2) = 2(3 + -2) 4x + (-2 + 2x) = 2(3 + -2) Reorder the terms: -2 + 4x + 2x = 2(3 + -2) Combine like terms: 4x + 2x = 6x -2 + 6x = 2(3 + -2) Combine like terms: 3 + -2 = 1 -2 + 6x = 2(1) Multiply 2 * 1 -2 + 6x = 2 Solving -2 + 6x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 2 + 2 6x = 2 + 2 Combine like terms: 2 + 2 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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