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Simplifying 4(1 + 4x) = 2(3 + 10x) (1 * 4 + 4x * 4) = 2(3 + 10x) (4 + 16x) = 2(3 + 10x) 4 + 16x = (3 * 2 + 10x * 2) 4 + 16x = (6 + 20x) Solving 4 + 16x = 6 + 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 + 16x + -20x = 6 + 20x + -20x Combine like terms: 16x + -20x = -4x 4 + -4x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -4x = 6 + 0 4 + -4x = 6 Add '-4' to each side of the equation. 4 + -4 + -4x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 6 + -4 -4x = 6 + -4 Combine like terms: 6 + -4 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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