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Simplifying x(5x + -2) + x(3x + -2) = (8x + 5)(x + -3) Reorder the terms: x(-2 + 5x) + x(3x + -2) = (8x + 5)(x + -3) (-2 * x + 5x * x) + x(3x + -2) = (8x + 5)(x + -3) (-2x + 5x2) + x(3x + -2) = (8x + 5)(x + -3) Reorder the terms: -2x + 5x2 + x(-2 + 3x) = (8x + 5)(x + -3) -2x + 5x2 + (-2 * x + 3x * x) = (8x + 5)(x + -3) -2x + 5x2 + (-2x + 3x2) = (8x + 5)(x + -3) Reorder the terms: -2x + -2x + 5x2 + 3x2 = (8x + 5)(x + -3) Combine like terms: -2x + -2x = -4x -4x + 5x2 + 3x2 = (8x + 5)(x + -3) Combine like terms: 5x2 + 3x2 = 8x2 -4x + 8x2 = (8x + 5)(x + -3) Reorder the terms: -4x + 8x2 = (5 + 8x)(x + -3) Reorder the terms: -4x + 8x2 = (5 + 8x)(-3 + x) Multiply (5 + 8x) * (-3 + x) -4x + 8x2 = (5(-3 + x) + 8x * (-3 + x)) -4x + 8x2 = ((-3 * 5 + x * 5) + 8x * (-3 + x)) -4x + 8x2 = ((-15 + 5x) + 8x * (-3 + x)) -4x + 8x2 = (-15 + 5x + (-3 * 8x + x * 8x)) -4x + 8x2 = (-15 + 5x + (-24x + 8x2)) Combine like terms: 5x + -24x = -19x -4x + 8x2 = (-15 + -19x + 8x2) Add '-8x2' to each side of the equation. -4x + 8x2 + -8x2 = -15 + -19x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -4x + 0 = -15 + -19x + 8x2 + -8x2 -4x = -15 + -19x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -4x = -15 + -19x + 0 -4x = -15 + -19x Solving -4x = -15 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -4x + 19x = -15 + -19x + 19x Combine like terms: -4x + 19x = 15x 15x = -15 + -19x + 19x Combine like terms: -19x + 19x = 0 15x = -15 + 0 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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