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Simplifying (2x + 5)(x + -6) = x(2x + 3) Reorder the terms: (5 + 2x)(x + -6) = x(2x + 3) Reorder the terms: (5 + 2x)(-6 + x) = x(2x + 3) Multiply (5 + 2x) * (-6 + x) (5(-6 + x) + 2x * (-6 + x)) = x(2x + 3) ((-6 * 5 + x * 5) + 2x * (-6 + x)) = x(2x + 3) ((-30 + 5x) + 2x * (-6 + x)) = x(2x + 3) (-30 + 5x + (-6 * 2x + x * 2x)) = x(2x + 3) (-30 + 5x + (-12x + 2x2)) = x(2x + 3) Combine like terms: 5x + -12x = -7x (-30 + -7x + 2x2) = x(2x + 3) Reorder the terms: -30 + -7x + 2x2 = x(3 + 2x) -30 + -7x + 2x2 = (3 * x + 2x * x) -30 + -7x + 2x2 = (3x + 2x2) Add '-2x2' to each side of the equation. -30 + -7x + 2x2 + -2x2 = 3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + -7x + 0 = 3x + 2x2 + -2x2 -30 + -7x = 3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + -7x = 3x + 0 -30 + -7x = 3x Solving -30 + -7x = 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. -30 + -7x + -3x = 3x + -3x Combine like terms: -7x + -3x = -10x -30 + -10x = 3x + -3x Combine like terms: 3x + -3x = 0 -30 + -10x = 0 Add '30' to each side of the equation. -30 + 30 + -10x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -10x = 0 + 30 -10x = 0 + 30 Combine like terms: 0 + 30 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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