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Simplifying x(2x + -2) + x(3x + -2) = (5x + 6)(x + -5) Reorder the terms: x(-2 + 2x) + x(3x + -2) = (5x + 6)(x + -5) (-2 * x + 2x * x) + x(3x + -2) = (5x + 6)(x + -5) (-2x + 2x2) + x(3x + -2) = (5x + 6)(x + -5) Reorder the terms: -2x + 2x2 + x(-2 + 3x) = (5x + 6)(x + -5) -2x + 2x2 + (-2 * x + 3x * x) = (5x + 6)(x + -5) -2x + 2x2 + (-2x + 3x2) = (5x + 6)(x + -5) Reorder the terms: -2x + -2x + 2x2 + 3x2 = (5x + 6)(x + -5) Combine like terms: -2x + -2x = -4x -4x + 2x2 + 3x2 = (5x + 6)(x + -5) Combine like terms: 2x2 + 3x2 = 5x2 -4x + 5x2 = (5x + 6)(x + -5) Reorder the terms: -4x + 5x2 = (6 + 5x)(x + -5) Reorder the terms: -4x + 5x2 = (6 + 5x)(-5 + x) Multiply (6 + 5x) * (-5 + x) -4x + 5x2 = (6(-5 + x) + 5x * (-5 + x)) -4x + 5x2 = ((-5 * 6 + x * 6) + 5x * (-5 + x)) -4x + 5x2 = ((-30 + 6x) + 5x * (-5 + x)) -4x + 5x2 = (-30 + 6x + (-5 * 5x + x * 5x)) -4x + 5x2 = (-30 + 6x + (-25x + 5x2)) Combine like terms: 6x + -25x = -19x -4x + 5x2 = (-30 + -19x + 5x2) Add '-5x2' to each side of the equation. -4x + 5x2 + -5x2 = -30 + -19x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -4x + 0 = -30 + -19x + 5x2 + -5x2 -4x = -30 + -19x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -4x = -30 + -19x + 0 -4x = -30 + -19x Solving -4x = -30 + -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 = -30 + -19x + 19x Combine like terms: -4x + 19x = 15x 15x = -30 + -19x + 19x Combine like terms: -19x + 19x = 0 15x = -30 + 0 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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