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Simplifying -2(4x + -2) = 5(x + 2) Reorder the terms: -2(-2 + 4x) = 5(x + 2) (-2 * -2 + 4x * -2) = 5(x + 2) (4 + -8x) = 5(x + 2) Reorder the terms: 4 + -8x = 5(2 + x) 4 + -8x = (2 * 5 + x * 5) 4 + -8x = (10 + 5x) Solving 4 + -8x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -8x + -5x = 10 + 5x + -5x Combine like terms: -8x + -5x = -13x 4 + -13x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -13x = 10 + 0 4 + -13x = 10 Add '-4' to each side of the equation. 4 + -4 + -13x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = 10 + -4 -13x = 10 + -4 Combine like terms: 10 + -4 = 6 -13x = 6 Divide each side by '-13'. x = -0.4615384615 Simplifying x = -0.4615384615
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