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Simplifying (2x + 1)(5 + -6x) = -3x(4x + -1) Reorder the terms: (1 + 2x)(5 + -6x) = -3x(4x + -1) Multiply (1 + 2x) * (5 + -6x) (1(5 + -6x) + 2x * (5 + -6x)) = -3x(4x + -1) ((5 * 1 + -6x * 1) + 2x * (5 + -6x)) = -3x(4x + -1) ((5 + -6x) + 2x * (5 + -6x)) = -3x(4x + -1) (5 + -6x + (5 * 2x + -6x * 2x)) = -3x(4x + -1) (5 + -6x + (10x + -12x2)) = -3x(4x + -1) Combine like terms: -6x + 10x = 4x (5 + 4x + -12x2) = -3x(4x + -1) Reorder the terms: 5 + 4x + -12x2 = -3x(-1 + 4x) 5 + 4x + -12x2 = (-1 * -3x + 4x * -3x) 5 + 4x + -12x2 = (3x + -12x2) Add '12x2' to each side of the equation. 5 + 4x + -12x2 + 12x2 = 3x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 5 + 4x + 0 = 3x + -12x2 + 12x2 5 + 4x = 3x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 5 + 4x = 3x + 0 5 + 4x = 3x Solving 5 + 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 0 Add '-5' to each side of the equation. 5 + -5 + 1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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