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Simplifying x(7x + -2) + x(2x + -4) = (9x + 4)(x + -1) Reorder the terms: x(-2 + 7x) + x(2x + -4) = (9x + 4)(x + -1) (-2 * x + 7x * x) + x(2x + -4) = (9x + 4)(x + -1) (-2x + 7x2) + x(2x + -4) = (9x + 4)(x + -1) Reorder the terms: -2x + 7x2 + x(-4 + 2x) = (9x + 4)(x + -1) -2x + 7x2 + (-4 * x + 2x * x) = (9x + 4)(x + -1) -2x + 7x2 + (-4x + 2x2) = (9x + 4)(x + -1) Reorder the terms: -2x + -4x + 7x2 + 2x2 = (9x + 4)(x + -1) Combine like terms: -2x + -4x = -6x -6x + 7x2 + 2x2 = (9x + 4)(x + -1) Combine like terms: 7x2 + 2x2 = 9x2 -6x + 9x2 = (9x + 4)(x + -1) Reorder the terms: -6x + 9x2 = (4 + 9x)(x + -1) Reorder the terms: -6x + 9x2 = (4 + 9x)(-1 + x) Multiply (4 + 9x) * (-1 + x) -6x + 9x2 = (4(-1 + x) + 9x * (-1 + x)) -6x + 9x2 = ((-1 * 4 + x * 4) + 9x * (-1 + x)) -6x + 9x2 = ((-4 + 4x) + 9x * (-1 + x)) -6x + 9x2 = (-4 + 4x + (-1 * 9x + x * 9x)) -6x + 9x2 = (-4 + 4x + (-9x + 9x2)) Combine like terms: 4x + -9x = -5x -6x + 9x2 = (-4 + -5x + 9x2) Add '-9x2' to each side of the equation. -6x + 9x2 + -9x2 = -4 + -5x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -6x + 0 = -4 + -5x + 9x2 + -9x2 -6x = -4 + -5x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -6x = -4 + -5x + 0 -6x = -4 + -5x Solving -6x = -4 + -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. -6x + 5x = -4 + -5x + 5x Combine like terms: -6x + 5x = -1x -1x = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 -1x = -4 + 0 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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