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Simplifying 2(x + -2) = 2x + 2 + -4(-4x + -1) Reorder the terms: 2(-2 + x) = 2x + 2 + -4(-4x + -1) (-2 * 2 + x * 2) = 2x + 2 + -4(-4x + -1) (-4 + 2x) = 2x + 2 + -4(-4x + -1) Reorder the terms: -4 + 2x = 2x + 2 + -4(-1 + -4x) -4 + 2x = 2x + 2 + (-1 * -4 + -4x * -4) -4 + 2x = 2x + 2 + (4 + 16x) Reorder the terms: -4 + 2x = 2 + 4 + 2x + 16x Combine like terms: 2 + 4 = 6 -4 + 2x = 6 + 2x + 16x Combine like terms: 2x + 16x = 18x -4 + 2x = 6 + 18x Solving -4 + 2x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -4 + 2x + -18x = 6 + 18x + -18x Combine like terms: 2x + -18x = -16x -4 + -16x = 6 + 18x + -18x Combine like terms: 18x + -18x = 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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