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Simplifying x(5x + -2) + x(2x + -6) = (7x + 9)(x + -2) Reorder the terms: x(-2 + 5x) + x(2x + -6) = (7x + 9)(x + -2) (-2 * x + 5x * x) + x(2x + -6) = (7x + 9)(x + -2) (-2x + 5x2) + x(2x + -6) = (7x + 9)(x + -2) Reorder the terms: -2x + 5x2 + x(-6 + 2x) = (7x + 9)(x + -2) -2x + 5x2 + (-6 * x + 2x * x) = (7x + 9)(x + -2) -2x + 5x2 + (-6x + 2x2) = (7x + 9)(x + -2) Reorder the terms: -2x + -6x + 5x2 + 2x2 = (7x + 9)(x + -2) Combine like terms: -2x + -6x = -8x -8x + 5x2 + 2x2 = (7x + 9)(x + -2) Combine like terms: 5x2 + 2x2 = 7x2 -8x + 7x2 = (7x + 9)(x + -2) Reorder the terms: -8x + 7x2 = (9 + 7x)(x + -2) Reorder the terms: -8x + 7x2 = (9 + 7x)(-2 + x) Multiply (9 + 7x) * (-2 + x) -8x + 7x2 = (9(-2 + x) + 7x * (-2 + x)) -8x + 7x2 = ((-2 * 9 + x * 9) + 7x * (-2 + x)) -8x + 7x2 = ((-18 + 9x) + 7x * (-2 + x)) -8x + 7x2 = (-18 + 9x + (-2 * 7x + x * 7x)) -8x + 7x2 = (-18 + 9x + (-14x + 7x2)) Combine like terms: 9x + -14x = -5x -8x + 7x2 = (-18 + -5x + 7x2) Add '-7x2' to each side of the equation. -8x + 7x2 + -7x2 = -18 + -5x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -8x + 0 = -18 + -5x + 7x2 + -7x2 -8x = -18 + -5x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -8x = -18 + -5x + 0 -8x = -18 + -5x Solving -8x = -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. -8x + 5x = -18 + -5x + 5x Combine like terms: -8x + 5x = -3x -3x = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 -3x = -18 + 0 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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