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Simplifying (x + -2)(2 + -6x) = 86 + -2x(2 + 3x) Reorder the terms: (-2 + x)(2 + -6x) = 86 + -2x(2 + 3x) Multiply (-2 + x) * (2 + -6x) (-2(2 + -6x) + x(2 + -6x)) = 86 + -2x(2 + 3x) ((2 * -2 + -6x * -2) + x(2 + -6x)) = 86 + -2x(2 + 3x) ((-4 + 12x) + x(2 + -6x)) = 86 + -2x(2 + 3x) (-4 + 12x + (2 * x + -6x * x)) = 86 + -2x(2 + 3x) (-4 + 12x + (2x + -6x2)) = 86 + -2x(2 + 3x) Combine like terms: 12x + 2x = 14x (-4 + 14x + -6x2) = 86 + -2x(2 + 3x) -4 + 14x + -6x2 = 86 + (2 * -2x + 3x * -2x) -4 + 14x + -6x2 = 86 + (-4x + -6x2) Add '6x2' to each side of the equation. -4 + 14x + -6x2 + 6x2 = 86 + -4x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -4 + 14x + 0 = 86 + -4x + -6x2 + 6x2 -4 + 14x = 86 + -4x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -4 + 14x = 86 + -4x + 0 -4 + 14x = 86 + -4x Solving -4 + 14x = 86 + -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. -4 + 14x + 4x = 86 + -4x + 4x Combine like terms: 14x + 4x = 18x -4 + 18x = 86 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 18x = 86 + 0 -4 + 18x = 86 Add '4' to each side of the equation. -4 + 4 + 18x = 86 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 86 + 4 18x = 86 + 4 Combine like terms: 86 + 4 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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