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Simplifying 4(4x + 2) = 2(2x + -2) Reorder the terms: 4(2 + 4x) = 2(2x + -2) (2 * 4 + 4x * 4) = 2(2x + -2) (8 + 16x) = 2(2x + -2) Reorder the terms: 8 + 16x = 2(-2 + 2x) 8 + 16x = (-2 * 2 + 2x * 2) 8 + 16x = (-4 + 4x) Solving 8 + 16x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 16x + -4x = -4 + 4x + -4x Combine like terms: 16x + -4x = 12x 8 + 12x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 12x = -4 + 0 8 + 12x = -4 Add '-8' to each side of the equation. 8 + -8 + 12x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = -4 + -8 12x = -4 + -8 Combine like terms: -4 + -8 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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