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Simplifying 2(x + 4) = 2(10x + 1) Reorder the terms: 2(4 + x) = 2(10x + 1) (4 * 2 + x * 2) = 2(10x + 1) (8 + 2x) = 2(10x + 1) Reorder the terms: 8 + 2x = 2(1 + 10x) 8 + 2x = (1 * 2 + 10x * 2) 8 + 2x = (2 + 20x) Solving 8 + 2x = 2 + 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. 8 + 2x + -20x = 2 + 20x + -20x Combine like terms: 2x + -20x = -18x 8 + -18x = 2 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + -18x = 2 + 0 8 + -18x = 2 Add '-8' to each side of the equation. 8 + -8 + -18x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = 2 + -8 -18x = 2 + -8 Combine like terms: 2 + -8 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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