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Simplifying 4x + 2(2x + 1) + 2(2x + 5) = 4 Reorder the terms: 4x + 2(1 + 2x) + 2(2x + 5) = 4 4x + (1 * 2 + 2x * 2) + 2(2x + 5) = 4 4x + (2 + 4x) + 2(2x + 5) = 4 Reorder the terms: 4x + 2 + 4x + 2(5 + 2x) = 4 4x + 2 + 4x + (5 * 2 + 2x * 2) = 4 4x + 2 + 4x + (10 + 4x) = 4 Reorder the terms: 2 + 10 + 4x + 4x + 4x = 4 Combine like terms: 2 + 10 = 12 12 + 4x + 4x + 4x = 4 Combine like terms: 4x + 4x = 8x 12 + 8x + 4x = 4 Combine like terms: 8x + 4x = 12x 12 + 12x = 4 Solving 12 + 12x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 4 + -12 12x = 4 + -12 Combine like terms: 4 + -12 = -8 12x = -8 Divide each side by '12'. x = -0.6666666667 Simplifying x = -0.6666666667
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