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Simplifying 4(x + -1) = 4x + 2 + -2(-8x + -2) Reorder the terms: 4(-1 + x) = 4x + 2 + -2(-8x + -2) (-1 * 4 + x * 4) = 4x + 2 + -2(-8x + -2) (-4 + 4x) = 4x + 2 + -2(-8x + -2) Reorder the terms: -4 + 4x = 4x + 2 + -2(-2 + -8x) -4 + 4x = 4x + 2 + (-2 * -2 + -8x * -2) -4 + 4x = 4x + 2 + (4 + 16x) Reorder the terms: -4 + 4x = 2 + 4 + 4x + 16x Combine like terms: 2 + 4 = 6 -4 + 4x = 6 + 4x + 16x Combine like terms: 4x + 16x = 20x -4 + 4x = 6 + 20x Solving -4 + 4x = 6 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -4 + 4x + -20x = 6 + 20x + -20x Combine like terms: 4x + -20x = -16x -4 + -16x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 -4 + -16x = 6 + 0 -4 + -16x = 6 Add '4' to each side of the equation. -4 + 4 + -16x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -16x = 6 + 4 -16x = 6 + 4 Combine like terms: 6 + 4 = 10 -16x = 10 Divide each side by '-16'. x = -0.625 Simplifying x = -0.625
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