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Simplifying x(x + -3) + -1(x + -2)(x + 4) = 2x Reorder the terms: x(-3 + x) + -1(x + -2)(x + 4) = 2x (-3 * x + x * x) + -1(x + -2)(x + 4) = 2x (-3x + x2) + -1(x + -2)(x + 4) = 2x Reorder the terms: -3x + x2 + -1(-2 + x)(x + 4) = 2x Reorder the terms: -3x + x2 + -1(-2 + x)(4 + x) = 2x Multiply (-2 + x) * (4 + x) -3x + x2 + -1(-2(4 + x) + x(4 + x)) = 2x -3x + x2 + -1((4 * -2 + x * -2) + x(4 + x)) = 2x -3x + x2 + -1((-8 + -2x) + x(4 + x)) = 2x -3x + x2 + -1(-8 + -2x + (4 * x + x * x)) = 2x -3x + x2 + -1(-8 + -2x + (4x + x2)) = 2x Combine like terms: -2x + 4x = 2x -3x + x2 + -1(-8 + 2x + x2) = 2x -3x + x2 + (-8 * -1 + 2x * -1 + x2 * -1) = 2x -3x + x2 + (8 + -2x + -1x2) = 2x Reorder the terms: 8 + -3x + -2x + x2 + -1x2 = 2x Combine like terms: -3x + -2x = -5x 8 + -5x + x2 + -1x2 = 2x Combine like terms: x2 + -1x2 = 0 8 + -5x + 0 = 2x 8 + -5x = 2x Solving 8 + -5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -5x + -2x = 2x + -2x Combine like terms: -5x + -2x = -7x 8 + -7x = 2x + -2x Combine like terms: 2x + -2x = 0 8 + -7x = 0 Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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