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Simplifying x(5x + -4) + x(2x + -2) = (7x + 6)(x + -3) Reorder the terms: x(-4 + 5x) + x(2x + -2) = (7x + 6)(x + -3) (-4 * x + 5x * x) + x(2x + -2) = (7x + 6)(x + -3) (-4x + 5x2) + x(2x + -2) = (7x + 6)(x + -3) Reorder the terms: -4x + 5x2 + x(-2 + 2x) = (7x + 6)(x + -3) -4x + 5x2 + (-2 * x + 2x * x) = (7x + 6)(x + -3) -4x + 5x2 + (-2x + 2x2) = (7x + 6)(x + -3) Reorder the terms: -4x + -2x + 5x2 + 2x2 = (7x + 6)(x + -3) Combine like terms: -4x + -2x = -6x -6x + 5x2 + 2x2 = (7x + 6)(x + -3) Combine like terms: 5x2 + 2x2 = 7x2 -6x + 7x2 = (7x + 6)(x + -3) Reorder the terms: -6x + 7x2 = (6 + 7x)(x + -3) Reorder the terms: -6x + 7x2 = (6 + 7x)(-3 + x) Multiply (6 + 7x) * (-3 + x) -6x + 7x2 = (6(-3 + x) + 7x * (-3 + x)) -6x + 7x2 = ((-3 * 6 + x * 6) + 7x * (-3 + x)) -6x + 7x2 = ((-18 + 6x) + 7x * (-3 + x)) -6x + 7x2 = (-18 + 6x + (-3 * 7x + x * 7x)) -6x + 7x2 = (-18 + 6x + (-21x + 7x2)) Combine like terms: 6x + -21x = -15x -6x + 7x2 = (-18 + -15x + 7x2) Add '-7x2' to each side of the equation. -6x + 7x2 + -7x2 = -18 + -15x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -6x + 0 = -18 + -15x + 7x2 + -7x2 -6x = -18 + -15x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -6x = -18 + -15x + 0 -6x = -18 + -15x Solving -6x = -18 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -6x + 15x = -18 + -15x + 15x Combine like terms: -6x + 15x = 9x 9x = -18 + -15x + 15x Combine like terms: -15x + 15x = 0 9x = -18 + 0 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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