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Simplifying 13 + -2y(2x + 1) = 1 Reorder the terms: 13 + -2y(1 + 2x) = 1 13 + (1 * -2y + 2x * -2y) = 1 Reorder the terms: 13 + (-4xy + -2y) = 1 13 + (-4xy + -2y) = 1 Solving 13 + -4xy + -2y = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -4xy + -13 + -2y = 1 + -13 Reorder the terms: 13 + -13 + -4xy + -2y = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -4xy + -2y = 1 + -13 -4xy + -2y = 1 + -13 Combine like terms: 1 + -13 = -12 -4xy + -2y = -12 Add '2y' to each side of the equation. -4xy + -2y + 2y = -12 + 2y Combine like terms: -2y + 2y = 0 -4xy + 0 = -12 + 2y -4xy = -12 + 2y Divide each side by '-4y'. x = 3y-1 + -0.5 Simplifying x = 3y-1 + -0.5 Reorder the terms: x = -0.5 + 3y-1
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