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Simplifying 4(5x + 1) + -6 = x + -1(x + 1) Reorder the terms: 4(1 + 5x) + -6 = x + -1(x + 1) (1 * 4 + 5x * 4) + -6 = x + -1(x + 1) (4 + 20x) + -6 = x + -1(x + 1) Reorder the terms: 4 + -6 + 20x = x + -1(x + 1) Combine like terms: 4 + -6 = -2 -2 + 20x = x + -1(x + 1) Reorder the terms: -2 + 20x = x + -1(1 + x) -2 + 20x = x + (1 * -1 + x * -1) -2 + 20x = x + (-1 + -1x) Reorder the terms: -2 + 20x = -1 + x + -1x Combine like terms: x + -1x = 0 -2 + 20x = -1 + 0 -2 + 20x = -1 Solving -2 + 20x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 20x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 20x = -1 + 2 20x = -1 + 2 Combine like terms: -1 + 2 = 1 20x = 1 Divide each side by '20'. x = 0.05 Simplifying x = 0.05
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