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Simplifying x(3x + -2) + x(4x + -2) = (7x + 8)(x + -4) Reorder the terms: x(-2 + 3x) + x(4x + -2) = (7x + 8)(x + -4) (-2 * x + 3x * x) + x(4x + -2) = (7x + 8)(x + -4) (-2x + 3x2) + x(4x + -2) = (7x + 8)(x + -4) Reorder the terms: -2x + 3x2 + x(-2 + 4x) = (7x + 8)(x + -4) -2x + 3x2 + (-2 * x + 4x * x) = (7x + 8)(x + -4) -2x + 3x2 + (-2x + 4x2) = (7x + 8)(x + -4) Reorder the terms: -2x + -2x + 3x2 + 4x2 = (7x + 8)(x + -4) Combine like terms: -2x + -2x = -4x -4x + 3x2 + 4x2 = (7x + 8)(x + -4) Combine like terms: 3x2 + 4x2 = 7x2 -4x + 7x2 = (7x + 8)(x + -4) Reorder the terms: -4x + 7x2 = (8 + 7x)(x + -4) Reorder the terms: -4x + 7x2 = (8 + 7x)(-4 + x) Multiply (8 + 7x) * (-4 + x) -4x + 7x2 = (8(-4 + x) + 7x * (-4 + x)) -4x + 7x2 = ((-4 * 8 + x * 8) + 7x * (-4 + x)) -4x + 7x2 = ((-32 + 8x) + 7x * (-4 + x)) -4x + 7x2 = (-32 + 8x + (-4 * 7x + x * 7x)) -4x + 7x2 = (-32 + 8x + (-28x + 7x2)) Combine like terms: 8x + -28x = -20x -4x + 7x2 = (-32 + -20x + 7x2) Add '-7x2' to each side of the equation. -4x + 7x2 + -7x2 = -32 + -20x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -4x + 0 = -32 + -20x + 7x2 + -7x2 -4x = -32 + -20x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -4x = -32 + -20x + 0 -4x = -32 + -20x Solving -4x = -32 + -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. -4x + 20x = -32 + -20x + 20x Combine like terms: -4x + 20x = 16x 16x = -32 + -20x + 20x Combine like terms: -20x + 20x = 0 16x = -32 + 0 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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