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Simplifying a + 190 = (2x + 10)(x + -2) Reorder the terms: 190 + a = (2x + 10)(x + -2) Reorder the terms: 190 + a = (10 + 2x)(x + -2) Reorder the terms: 190 + a = (10 + 2x)(-2 + x) Multiply (10 + 2x) * (-2 + x) 190 + a = (10(-2 + x) + 2x * (-2 + x)) 190 + a = ((-2 * 10 + x * 10) + 2x * (-2 + x)) 190 + a = ((-20 + 10x) + 2x * (-2 + x)) 190 + a = (-20 + 10x + (-2 * 2x + x * 2x)) 190 + a = (-20 + 10x + (-4x + 2x2)) Combine like terms: 10x + -4x = 6x 190 + a = (-20 + 6x + 2x2) Solving 190 + a = -20 + 6x + 2x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-190' to each side of the equation. 190 + -190 + a = -20 + 6x + -190 + 2x2 Combine like terms: 190 + -190 = 0 0 + a = -20 + 6x + -190 + 2x2 a = -20 + 6x + -190 + 2x2 Reorder the terms: a = -20 + -190 + 6x + 2x2 Combine like terms: -20 + -190 = -210 a = -210 + 6x + 2x2 Simplifying a = -210 + 6x + 2x2
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