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Simplifying x(5x + -4) + x(2x + -2) = (7x + 4)(x + -2) Reorder the terms: x(-4 + 5x) + x(2x + -2) = (7x + 4)(x + -2) (-4 * x + 5x * x) + x(2x + -2) = (7x + 4)(x + -2) (-4x + 5x2) + x(2x + -2) = (7x + 4)(x + -2) Reorder the terms: -4x + 5x2 + x(-2 + 2x) = (7x + 4)(x + -2) -4x + 5x2 + (-2 * x + 2x * x) = (7x + 4)(x + -2) -4x + 5x2 + (-2x + 2x2) = (7x + 4)(x + -2) Reorder the terms: -4x + -2x + 5x2 + 2x2 = (7x + 4)(x + -2) Combine like terms: -4x + -2x = -6x -6x + 5x2 + 2x2 = (7x + 4)(x + -2) Combine like terms: 5x2 + 2x2 = 7x2 -6x + 7x2 = (7x + 4)(x + -2) Reorder the terms: -6x + 7x2 = (4 + 7x)(x + -2) Reorder the terms: -6x + 7x2 = (4 + 7x)(-2 + x) Multiply (4 + 7x) * (-2 + x) -6x + 7x2 = (4(-2 + x) + 7x * (-2 + x)) -6x + 7x2 = ((-2 * 4 + x * 4) + 7x * (-2 + x)) -6x + 7x2 = ((-8 + 4x) + 7x * (-2 + x)) -6x + 7x2 = (-8 + 4x + (-2 * 7x + x * 7x)) -6x + 7x2 = (-8 + 4x + (-14x + 7x2)) Combine like terms: 4x + -14x = -10x -6x + 7x2 = (-8 + -10x + 7x2) Add '-7x2' to each side of the equation. -6x + 7x2 + -7x2 = -8 + -10x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -6x + 0 = -8 + -10x + 7x2 + -7x2 -6x = -8 + -10x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -6x = -8 + -10x + 0 -6x = -8 + -10x Solving -6x = -8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6x + 10x = -8 + -10x + 10x Combine like terms: -6x + 10x = 4x 4x = -8 + -10x + 10x Combine like terms: -10x + 10x = 0 4x = -8 + 0 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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