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Simplifying (3x + -5)(2x + 2) = 6x2 + 7x + -16 Reorder the terms: (-5 + 3x)(2x + 2) = 6x2 + 7x + -16 Reorder the terms: (-5 + 3x)(2 + 2x) = 6x2 + 7x + -16 Multiply (-5 + 3x) * (2 + 2x) (-5(2 + 2x) + 3x * (2 + 2x)) = 6x2 + 7x + -16 ((2 * -5 + 2x * -5) + 3x * (2 + 2x)) = 6x2 + 7x + -16 ((-10 + -10x) + 3x * (2 + 2x)) = 6x2 + 7x + -16 (-10 + -10x + (2 * 3x + 2x * 3x)) = 6x2 + 7x + -16 (-10 + -10x + (6x + 6x2)) = 6x2 + 7x + -16 Combine like terms: -10x + 6x = -4x (-10 + -4x + 6x2) = 6x2 + 7x + -16 Reorder the terms: -10 + -4x + 6x2 = -16 + 7x + 6x2 Add '-6x2' to each side of the equation. -10 + -4x + 6x2 + -6x2 = -16 + 7x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -10 + -4x + 0 = -16 + 7x + 6x2 + -6x2 -10 + -4x = -16 + 7x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -10 + -4x = -16 + 7x + 0 -10 + -4x = -16 + 7x Solving -10 + -4x = -16 + 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. -10 + -4x + -7x = -16 + 7x + -7x Combine like terms: -4x + -7x = -11x -10 + -11x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -11x = -16 + 0 -10 + -11x = -16 Add '10' to each side of the equation. -10 + 10 + -11x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = -16 + 10 -11x = -16 + 10 Combine like terms: -16 + 10 = -6 -11x = -6 Divide each side by '-11'. x = 0.5454545455 Simplifying x = 0.5454545455
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