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Simplifying (2x + -5)(6 + x) = 2x2 + -7x + 12 Reorder the terms: (-5 + 2x)(6 + x) = 2x2 + -7x + 12 Multiply (-5 + 2x) * (6 + x) (-5(6 + x) + 2x * (6 + x)) = 2x2 + -7x + 12 ((6 * -5 + x * -5) + 2x * (6 + x)) = 2x2 + -7x + 12 ((-30 + -5x) + 2x * (6 + x)) = 2x2 + -7x + 12 (-30 + -5x + (6 * 2x + x * 2x)) = 2x2 + -7x + 12 (-30 + -5x + (12x + 2x2)) = 2x2 + -7x + 12 Combine like terms: -5x + 12x = 7x (-30 + 7x + 2x2) = 2x2 + -7x + 12 Reorder the terms: -30 + 7x + 2x2 = 12 + -7x + 2x2 Add '-2x2' to each side of the equation. -30 + 7x + 2x2 + -2x2 = 12 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + 7x + 0 = 12 + -7x + 2x2 + -2x2 -30 + 7x = 12 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + 7x = 12 + -7x + 0 -30 + 7x = 12 + -7x Solving -30 + 7x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -30 + 7x + 7x = 12 + -7x + 7x Combine like terms: 7x + 7x = 14x -30 + 14x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -30 + 14x = 12 + 0 -30 + 14x = 12 Add '30' to each side of the equation. -30 + 30 + 14x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 14x = 12 + 30 14x = 12 + 30 Combine like terms: 12 + 30 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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