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Simplifying 5(2x + 4) = (4x + 1) Reorder the terms: 5(4 + 2x) = (4x + 1) (4 * 5 + 2x * 5) = (4x + 1) (20 + 10x) = (4x + 1) Reorder the terms: 20 + 10x = (1 + 4x) Remove parenthesis around (1 + 4x) 20 + 10x = 1 + 4x Solving 20 + 10x = 1 + 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. 20 + 10x + -4x = 1 + 4x + -4x Combine like terms: 10x + -4x = 6x 20 + 6x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 6x = 1 + 0 20 + 6x = 1 Add '-20' to each side of the equation. 20 + -20 + 6x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 1 + -20 6x = 1 + -20 Combine like terms: 1 + -20 = -19 6x = -19 Divide each side by '6'. x = -3.166666667 Simplifying x = -3.166666667
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