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Simplifying 4(x + -1) = 2(3 + -1x) Reorder the terms: 4(-1 + x) = 2(3 + -1x) (-1 * 4 + x * 4) = 2(3 + -1x) (-4 + 4x) = 2(3 + -1x) -4 + 4x = (3 * 2 + -1x * 2) -4 + 4x = (6 + -2x) Solving -4 + 4x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 4x + 2x = 6 + -2x + 2x Combine like terms: 4x + 2x = 6x -4 + 6x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 6x = 6 + 0 -4 + 6x = 6 Add '4' to each side of the equation. -4 + 4 + 6x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 6 + 4 6x = 6 + 4 Combine like terms: 6 + 4 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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