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Simplifying x(2x + -5) + x(2x + -2) = (4x + 3)(x + -2) Reorder the terms: x(-5 + 2x) + x(2x + -2) = (4x + 3)(x + -2) (-5 * x + 2x * x) + x(2x + -2) = (4x + 3)(x + -2) (-5x + 2x2) + x(2x + -2) = (4x + 3)(x + -2) Reorder the terms: -5x + 2x2 + x(-2 + 2x) = (4x + 3)(x + -2) -5x + 2x2 + (-2 * x + 2x * x) = (4x + 3)(x + -2) -5x + 2x2 + (-2x + 2x2) = (4x + 3)(x + -2) Reorder the terms: -5x + -2x + 2x2 + 2x2 = (4x + 3)(x + -2) Combine like terms: -5x + -2x = -7x -7x + 2x2 + 2x2 = (4x + 3)(x + -2) Combine like terms: 2x2 + 2x2 = 4x2 -7x + 4x2 = (4x + 3)(x + -2) Reorder the terms: -7x + 4x2 = (3 + 4x)(x + -2) Reorder the terms: -7x + 4x2 = (3 + 4x)(-2 + x) Multiply (3 + 4x) * (-2 + x) -7x + 4x2 = (3(-2 + x) + 4x * (-2 + x)) -7x + 4x2 = ((-2 * 3 + x * 3) + 4x * (-2 + x)) -7x + 4x2 = ((-6 + 3x) + 4x * (-2 + x)) -7x + 4x2 = (-6 + 3x + (-2 * 4x + x * 4x)) -7x + 4x2 = (-6 + 3x + (-8x + 4x2)) Combine like terms: 3x + -8x = -5x -7x + 4x2 = (-6 + -5x + 4x2) Add '-4x2' to each side of the equation. -7x + 4x2 + -4x2 = -6 + -5x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7x + 0 = -6 + -5x + 4x2 + -4x2 -7x = -6 + -5x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7x = -6 + -5x + 0 -7x = -6 + -5x Solving -7x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7x + 5x = -6 + -5x + 5x Combine like terms: -7x + 5x = -2x -2x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 -2x = -6 + 0 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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