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Simplifying (x + 10)(y + -0.40) = x * y Reorder the terms: (10 + x)(y + -0.40) = x * y Reorder the terms: (10 + x)(-0.40 + y) = x * y Multiply (10 + x) * (-0.40 + y) (10(-0.40 + y) + x(-0.40 + y)) = x * y ((-0.40 * 10 + y * 10) + x(-0.40 + y)) = x * y ((-4 + 10y) + x(-0.40 + y)) = x * y (-4 + 10y + (-0.40 * x + y * x)) = x * y (-4 + 10y + (-0.40x + xy)) = x * y Reorder the terms: (-4 + -0.40x + xy + 10y) = x * y (-4 + -0.40x + xy + 10y) = x * y Multiply x * y -4 + -0.40x + xy + 10y = xy Add '-1xy' to each side of the equation. -4 + -0.40x + xy + -1xy + 10y = xy + -1xy Combine like terms: xy + -1xy = 0 -4 + -0.40x + 0 + 10y = xy + -1xy -4 + -0.40x + 10y = xy + -1xy Combine like terms: xy + -1xy = 0 -4 + -0.40x + 10y = 0 Solving -4 + -0.40x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -0.40x + 4 + 10y = 0 + 4 Reorder the terms: -4 + 4 + -0.40x + 10y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -0.40x + 10y = 0 + 4 -0.40x + 10y = 0 + 4 Combine like terms: 0 + 4 = 4 -0.40x + 10y = 4 Add '-10y' to each side of the equation. -0.40x + 10y + -10y = 4 + -10y Combine like terms: 10y + -10y = 0 -0.40x + 0 = 4 + -10y -0.40x = 4 + -10y Divide each side by '-0.40'. x = -10 + 25y Simplifying x = -10 + 25y
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