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