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Simplifying -2(2x + -2) = -4(4x + 10) Reorder the terms: -2(-2 + 2x) = -4(4x + 10) (-2 * -2 + 2x * -2) = -4(4x + 10) (4 + -4x) = -4(4x + 10) Reorder the terms: 4 + -4x = -4(10 + 4x) 4 + -4x = (10 * -4 + 4x * -4) 4 + -4x = (-40 + -16x) Solving 4 + -4x = -40 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 4 + -4x + 16x = -40 + -16x + 16x Combine like terms: -4x + 16x = 12x 4 + 12x = -40 + -16x + 16x Combine like terms: -16x + 16x = 0 4 + 12x = -40 + 0 4 + 12x = -40 Add '-4' to each side of the equation. 4 + -4 + 12x = -40 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = -40 + -4 12x = -40 + -4 Combine like terms: -40 + -4 = -44 12x = -44 Divide each side by '12'. x = -3.666666667 Simplifying x = -3.666666667
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