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Simplifying (5 + -1x)(2 + -1x) + -1x(x + -3) = 0 Multiply (5 + -1x) * (2 + -1x) (5(2 + -1x) + -1x * (2 + -1x)) + -1x(x + -3) = 0 ((2 * 5 + -1x * 5) + -1x * (2 + -1x)) + -1x(x + -3) = 0 ((10 + -5x) + -1x * (2 + -1x)) + -1x(x + -3) = 0 (10 + -5x + (2 * -1x + -1x * -1x)) + -1x(x + -3) = 0 (10 + -5x + (-2x + 1x2)) + -1x(x + -3) = 0 Combine like terms: -5x + -2x = -7x (10 + -7x + 1x2) + -1x(x + -3) = 0 Reorder the terms: 10 + -7x + 1x2 + -1x(-3 + x) = 0 10 + -7x + 1x2 + (-3 * -1x + x * -1x) = 0 10 + -7x + 1x2 + (3x + -1x2) = 0 Reorder the terms: 10 + -7x + 3x + 1x2 + -1x2 = 0 Combine like terms: -7x + 3x = -4x 10 + -4x + 1x2 + -1x2 = 0 Combine like terms: 1x2 + -1x2 = 0 10 + -4x + 0 = 0 10 + -4x = 0 Solving 10 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 0 + -10 -4x = 0 + -10 Combine like terms: 0 + -10 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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