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Simplifying 2(x + -1) = 4x + 2 + -4(-4x + -1) Reorder the terms: 2(-1 + x) = 4x + 2 + -4(-4x + -1) (-1 * 2 + x * 2) = 4x + 2 + -4(-4x + -1) (-2 + 2x) = 4x + 2 + -4(-4x + -1) Reorder the terms: -2 + 2x = 4x + 2 + -4(-1 + -4x) -2 + 2x = 4x + 2 + (-1 * -4 + -4x * -4) -2 + 2x = 4x + 2 + (4 + 16x) Reorder the terms: -2 + 2x = 2 + 4 + 4x + 16x Combine like terms: 2 + 4 = 6 -2 + 2x = 6 + 4x + 16x Combine like terms: 4x + 16x = 20x -2 + 2x = 6 + 20x Solving -2 + 2x = 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. -2 + 2x + -20x = 6 + 20x + -20x Combine like terms: 2x + -20x = -18x -2 + -18x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 -2 + -18x = 6 + 0 -2 + -18x = 6 Add '2' to each side of the equation. -2 + 2 + -18x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -18x = 6 + 2 -18x = 6 + 2 Combine like terms: 6 + 2 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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