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Simplifying 2x(5 + -6x) + -12(x + 3) = -3x(5 + 4x) (5 * 2x + -6x * 2x) + -12(x + 3) = -3x(5 + 4x) (10x + -12x2) + -12(x + 3) = -3x(5 + 4x) Reorder the terms: 10x + -12x2 + -12(3 + x) = -3x(5 + 4x) 10x + -12x2 + (3 * -12 + x * -12) = -3x(5 + 4x) 10x + -12x2 + (-36 + -12x) = -3x(5 + 4x) Reorder the terms: -36 + 10x + -12x + -12x2 = -3x(5 + 4x) Combine like terms: 10x + -12x = -2x -36 + -2x + -12x2 = -3x(5 + 4x) -36 + -2x + -12x2 = (5 * -3x + 4x * -3x) -36 + -2x + -12x2 = (-15x + -12x2) Add '12x2' to each side of the equation. -36 + -2x + -12x2 + 12x2 = -15x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -36 + -2x + 0 = -15x + -12x2 + 12x2 -36 + -2x = -15x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -36 + -2x = -15x + 0 -36 + -2x = -15x Solving -36 + -2x = -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -36 + -2x + 15x = -15x + 15x Combine like terms: -2x + 15x = 13x -36 + 13x = -15x + 15x Combine like terms: -15x + 15x = 0 -36 + 13x = 0 Add '36' to each side of the equation. -36 + 36 + 13x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = 0 + 36 13x = 0 + 36 Combine like terms: 0 + 36 = 36 13x = 36 Divide each side by '13'. x = 2.769230769 Simplifying x = 2.769230769
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