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Simplifying 5(x + 4) = 2(10x + 1) Reorder the terms: 5(4 + x) = 2(10x + 1) (4 * 5 + x * 5) = 2(10x + 1) (20 + 5x) = 2(10x + 1) Reorder the terms: 20 + 5x = 2(1 + 10x) 20 + 5x = (1 * 2 + 10x * 2) 20 + 5x = (2 + 20x) Solving 20 + 5x = 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. 20 + 5x + -20x = 2 + 20x + -20x Combine like terms: 5x + -20x = -15x 20 + -15x = 2 + 20x + -20x Combine like terms: 20x + -20x = 0 20 + -15x = 2 + 0 20 + -15x = 2 Add '-20' to each side of the equation. 20 + -20 + -15x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -15x = 2 + -20 -15x = 2 + -20 Combine like terms: 2 + -20 = -18 -15x = -18 Divide each side by '-15'. x = 1.2 Simplifying x = 1.2
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