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Simplifying 4(x + -1) = 1 + -1(3 + -1x) Reorder the terms: 4(-1 + x) = 1 + -1(3 + -1x) (-1 * 4 + x * 4) = 1 + -1(3 + -1x) (-4 + 4x) = 1 + -1(3 + -1x) -4 + 4x = 1 + (3 * -1 + -1x * -1) -4 + 4x = 1 + (-3 + 1x) Combine like terms: 1 + -3 = -2 -4 + 4x = -2 + 1x Solving -4 + 4x = -2 + 1x 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. -4 + 4x + -1x = -2 + 1x + -1x Combine like terms: 4x + -1x = 3x -4 + 3x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 3x = -2 + 0 -4 + 3x = -2 Add '4' to each side of the equation. -4 + 4 + 3x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -2 + 4 3x = -2 + 4 Combine like terms: -2 + 4 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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