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Simplifying (2x + 1)(x + -5) = 2(x2 + -1) Reorder the terms: (1 + 2x)(x + -5) = 2(x2 + -1) Reorder the terms: (1 + 2x)(-5 + x) = 2(x2 + -1) Multiply (1 + 2x) * (-5 + x) (1(-5 + x) + 2x * (-5 + x)) = 2(x2 + -1) ((-5 * 1 + x * 1) + 2x * (-5 + x)) = 2(x2 + -1) ((-5 + 1x) + 2x * (-5 + x)) = 2(x2 + -1) (-5 + 1x + (-5 * 2x + x * 2x)) = 2(x2 + -1) (-5 + 1x + (-10x + 2x2)) = 2(x2 + -1) Combine like terms: 1x + -10x = -9x (-5 + -9x + 2x2) = 2(x2 + -1) Reorder the terms: -5 + -9x + 2x2 = 2(-1 + x2) -5 + -9x + 2x2 = (-1 * 2 + x2 * 2) -5 + -9x + 2x2 = (-2 + 2x2) Add '-2x2' to each side of the equation. -5 + -9x + 2x2 + -2x2 = -2 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -9x + 0 = -2 + 2x2 + -2x2 -5 + -9x = -2 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -9x = -2 + 0 -5 + -9x = -2 Solving -5 + -9x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = -2 + 5 -9x = -2 + 5 Combine like terms: -2 + 5 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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