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Simplifying (10y + -8) + -1(40x + 20y + -7) = 0 Reorder the terms: (-8 + 10y) + -1(40x + 20y + -7) = 0 Remove parenthesis around (-8 + 10y) -8 + 10y + -1(40x + 20y + -7) = 0 Reorder the terms: -8 + 10y + -1(-7 + 40x + 20y) = 0 -8 + 10y + (-7 * -1 + 40x * -1 + 20y * -1) = 0 -8 + 10y + (7 + -40x + -20y) = 0 Reorder the terms: -8 + 7 + -40x + 10y + -20y = 0 Combine like terms: -8 + 7 = -1 -1 + -40x + 10y + -20y = 0 Combine like terms: 10y + -20y = -10y -1 + -40x + -10y = 0 Solving -1 + -40x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -40x + 1 + -10y = 0 + 1 Reorder the terms: -1 + 1 + -40x + -10y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -40x + -10y = 0 + 1 -40x + -10y = 0 + 1 Combine like terms: 0 + 1 = 1 -40x + -10y = 1 Add '10y' to each side of the equation. -40x + -10y + 10y = 1 + 10y Combine like terms: -10y + 10y = 0 -40x + 0 = 1 + 10y -40x = 1 + 10y Divide each side by '-40'. x = -0.025 + -0.25y Simplifying x = -0.025 + -0.25y
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