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Simplifying x(3x + -2) + x(4x + -5) = (7x + 7)(x + -3) Reorder the terms: x(-2 + 3x) + x(4x + -5) = (7x + 7)(x + -3) (-2 * x + 3x * x) + x(4x + -5) = (7x + 7)(x + -3) (-2x + 3x2) + x(4x + -5) = (7x + 7)(x + -3) Reorder the terms: -2x + 3x2 + x(-5 + 4x) = (7x + 7)(x + -3) -2x + 3x2 + (-5 * x + 4x * x) = (7x + 7)(x + -3) -2x + 3x2 + (-5x + 4x2) = (7x + 7)(x + -3) Reorder the terms: -2x + -5x + 3x2 + 4x2 = (7x + 7)(x + -3) Combine like terms: -2x + -5x = -7x -7x + 3x2 + 4x2 = (7x + 7)(x + -3) Combine like terms: 3x2 + 4x2 = 7x2 -7x + 7x2 = (7x + 7)(x + -3) Reorder the terms: -7x + 7x2 = (7 + 7x)(x + -3) Reorder the terms: -7x + 7x2 = (7 + 7x)(-3 + x) Multiply (7 + 7x) * (-3 + x) -7x + 7x2 = (7(-3 + x) + 7x * (-3 + x)) -7x + 7x2 = ((-3 * 7 + x * 7) + 7x * (-3 + x)) -7x + 7x2 = ((-21 + 7x) + 7x * (-3 + x)) -7x + 7x2 = (-21 + 7x + (-3 * 7x + x * 7x)) -7x + 7x2 = (-21 + 7x + (-21x + 7x2)) Combine like terms: 7x + -21x = -14x -7x + 7x2 = (-21 + -14x + 7x2) Add '-7x2' to each side of the equation. -7x + 7x2 + -7x2 = -21 + -14x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -7x + 0 = -21 + -14x + 7x2 + -7x2 -7x = -21 + -14x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -7x = -21 + -14x + 0 -7x = -21 + -14x Solving -7x = -21 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -7x + 14x = -21 + -14x + 14x Combine like terms: -7x + 14x = 7x 7x = -21 + -14x + 14x Combine like terms: -14x + 14x = 0 7x = -21 + 0 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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