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Simplifying x(4x + -4) + x(3x + -2) = (7x + 9)(x + -2) Reorder the terms: x(-4 + 4x) + x(3x + -2) = (7x + 9)(x + -2) (-4 * x + 4x * x) + x(3x + -2) = (7x + 9)(x + -2) (-4x + 4x2) + x(3x + -2) = (7x + 9)(x + -2) Reorder the terms: -4x + 4x2 + x(-2 + 3x) = (7x + 9)(x + -2) -4x + 4x2 + (-2 * x + 3x * x) = (7x + 9)(x + -2) -4x + 4x2 + (-2x + 3x2) = (7x + 9)(x + -2) Reorder the terms: -4x + -2x + 4x2 + 3x2 = (7x + 9)(x + -2) Combine like terms: -4x + -2x = -6x -6x + 4x2 + 3x2 = (7x + 9)(x + -2) Combine like terms: 4x2 + 3x2 = 7x2 -6x + 7x2 = (7x + 9)(x + -2) Reorder the terms: -6x + 7x2 = (9 + 7x)(x + -2) Reorder the terms: -6x + 7x2 = (9 + 7x)(-2 + x) Multiply (9 + 7x) * (-2 + x) -6x + 7x2 = (9(-2 + x) + 7x * (-2 + x)) -6x + 7x2 = ((-2 * 9 + x * 9) + 7x * (-2 + x)) -6x + 7x2 = ((-18 + 9x) + 7x * (-2 + x)) -6x + 7x2 = (-18 + 9x + (-2 * 7x + x * 7x)) -6x + 7x2 = (-18 + 9x + (-14x + 7x2)) Combine like terms: 9x + -14x = -5x -6x + 7x2 = (-18 + -5x + 7x2) Add '-7x2' to each side of the equation. -6x + 7x2 + -7x2 = -18 + -5x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -6x + 0 = -18 + -5x + 7x2 + -7x2 -6x = -18 + -5x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -6x = -18 + -5x + 0 -6x = -18 + -5x Solving -6x = -18 + -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 = -18 + -5x + 5x Combine like terms: -6x + 5x = -1x -1x = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 -1x = -18 + 0 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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