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Simplifying 3(4x + 1) + -5 = x + -1(x + 1) Reorder the terms: 3(1 + 4x) + -5 = x + -1(x + 1) (1 * 3 + 4x * 3) + -5 = x + -1(x + 1) (3 + 12x) + -5 = x + -1(x + 1) Reorder the terms: 3 + -5 + 12x = x + -1(x + 1) Combine like terms: 3 + -5 = -2 -2 + 12x = x + -1(x + 1) Reorder the terms: -2 + 12x = x + -1(1 + x) -2 + 12x = x + (1 * -1 + x * -1) -2 + 12x = x + (-1 + -1x) Reorder the terms: -2 + 12x = -1 + x + -1x Combine like terms: x + -1x = 0 -2 + 12x = -1 + 0 -2 + 12x = -1 Solving -2 + 12x = -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 + 12x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = -1 + 2 12x = -1 + 2 Combine like terms: -1 + 2 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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