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Simplifying 2(x + 1) = 5 + -5(4x + 1) Reorder the terms: 2(1 + x) = 5 + -5(4x + 1) (1 * 2 + x * 2) = 5 + -5(4x + 1) (2 + 2x) = 5 + -5(4x + 1) Reorder the terms: 2 + 2x = 5 + -5(1 + 4x) 2 + 2x = 5 + (1 * -5 + 4x * -5) 2 + 2x = 5 + (-5 + -20x) Combine like terms: 5 + -5 = 0 2 + 2x = 0 + -20x 2 + 2x = -20x Solving 2 + 2x = -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. 2 + 2x + 20x = -20x + 20x Combine like terms: 2x + 20x = 22x 2 + 22x = -20x + 20x Combine like terms: -20x + 20x = 0 2 + 22x = 0 Add '-2' to each side of the equation. 2 + -2 + 22x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 22x = 0 + -2 22x = 0 + -2 Combine like terms: 0 + -2 = -2 22x = -2 Divide each side by '22'. x = -0.09090909091 Simplifying x = -0.09090909091
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