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Simplifying x(5x + -3) + x(2x + -2) = (7x + 4)(x + -3) Reorder the terms: x(-3 + 5x) + x(2x + -2) = (7x + 4)(x + -3) (-3 * x + 5x * x) + x(2x + -2) = (7x + 4)(x + -3) (-3x + 5x2) + x(2x + -2) = (7x + 4)(x + -3) Reorder the terms: -3x + 5x2 + x(-2 + 2x) = (7x + 4)(x + -3) -3x + 5x2 + (-2 * x + 2x * x) = (7x + 4)(x + -3) -3x + 5x2 + (-2x + 2x2) = (7x + 4)(x + -3) Reorder the terms: -3x + -2x + 5x2 + 2x2 = (7x + 4)(x + -3) Combine like terms: -3x + -2x = -5x -5x + 5x2 + 2x2 = (7x + 4)(x + -3) Combine like terms: 5x2 + 2x2 = 7x2 -5x + 7x2 = (7x + 4)(x + -3) Reorder the terms: -5x + 7x2 = (4 + 7x)(x + -3) Reorder the terms: -5x + 7x2 = (4 + 7x)(-3 + x) Multiply (4 + 7x) * (-3 + x) -5x + 7x2 = (4(-3 + x) + 7x * (-3 + x)) -5x + 7x2 = ((-3 * 4 + x * 4) + 7x * (-3 + x)) -5x + 7x2 = ((-12 + 4x) + 7x * (-3 + x)) -5x + 7x2 = (-12 + 4x + (-3 * 7x + x * 7x)) -5x + 7x2 = (-12 + 4x + (-21x + 7x2)) Combine like terms: 4x + -21x = -17x -5x + 7x2 = (-12 + -17x + 7x2) Add '-7x2' to each side of the equation. -5x + 7x2 + -7x2 = -12 + -17x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -5x + 0 = -12 + -17x + 7x2 + -7x2 -5x = -12 + -17x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -5x = -12 + -17x + 0 -5x = -12 + -17x Solving -5x = -12 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -5x + 17x = -12 + -17x + 17x Combine like terms: -5x + 17x = 12x 12x = -12 + -17x + 17x Combine like terms: -17x + 17x = 0 12x = -12 + 0 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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