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Simplifying 3x(4x + -3) + 7 = -4x(5 + -3x) Reorder the terms: 3x(-3 + 4x) + 7 = -4x(5 + -3x) (-3 * 3x + 4x * 3x) + 7 = -4x(5 + -3x) (-9x + 12x2) + 7 = -4x(5 + -3x) Reorder the terms: 7 + -9x + 12x2 = -4x(5 + -3x) 7 + -9x + 12x2 = (5 * -4x + -3x * -4x) 7 + -9x + 12x2 = (-20x + 12x2) Add '-12x2' to each side of the equation. 7 + -9x + 12x2 + -12x2 = -20x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 7 + -9x + 0 = -20x + 12x2 + -12x2 7 + -9x = -20x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 7 + -9x = -20x + 0 7 + -9x = -20x Solving 7 + -9x = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 7 + -9x + 20x = -20x + 20x Combine like terms: -9x + 20x = 11x 7 + 11x = -20x + 20x Combine like terms: -20x + 20x = 0 7 + 11x = 0 Add '-7' to each side of the equation. 7 + -7 + 11x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 0 + -7 11x = 0 + -7 Combine like terms: 0 + -7 = -7 11x = -7 Divide each side by '11'. x = -0.6363636364 Simplifying x = -0.6363636364
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