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Simplifying 2(4x + 2) = 4(5x + -2) Reorder the terms: 2(2 + 4x) = 4(5x + -2) (2 * 2 + 4x * 2) = 4(5x + -2) (4 + 8x) = 4(5x + -2) Reorder the terms: 4 + 8x = 4(-2 + 5x) 4 + 8x = (-2 * 4 + 5x * 4) 4 + 8x = (-8 + 20x) Solving 4 + 8x = -8 + 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. 4 + 8x + -20x = -8 + 20x + -20x Combine like terms: 8x + -20x = -12x 4 + -12x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -12x = -8 + 0 4 + -12x = -8 Add '-4' to each side of the equation. 4 + -4 + -12x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -8 + -4 -12x = -8 + -4 Combine like terms: -8 + -4 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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