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Simplifying 2(5x + -2y + 1) + -2(3y + 2x) = 0 Reorder the terms: 2(1 + 5x + -2y) + -2(3y + 2x) = 0 (1 * 2 + 5x * 2 + -2y * 2) + -2(3y + 2x) = 0 (2 + 10x + -4y) + -2(3y + 2x) = 0 Reorder the terms: 2 + 10x + -4y + -2(2x + 3y) = 0 2 + 10x + -4y + (2x * -2 + 3y * -2) = 0 2 + 10x + -4y + (-4x + -6y) = 0 Reorder the terms: 2 + 10x + -4x + -4y + -6y = 0 Combine like terms: 10x + -4x = 6x 2 + 6x + -4y + -6y = 0 Combine like terms: -4y + -6y = -10y 2 + 6x + -10y = 0 Solving 2 + 6x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6x + -2 + -10y = 0 + -2 Reorder the terms: 2 + -2 + 6x + -10y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6x + -10y = 0 + -2 6x + -10y = 0 + -2 Combine like terms: 0 + -2 = -2 6x + -10y = -2 Add '10y' to each side of the equation. 6x + -10y + 10y = -2 + 10y Combine like terms: -10y + 10y = 0 6x + 0 = -2 + 10y 6x = -2 + 10y Divide each side by '6'. x = -0.3333333333 + 1.666666667y Simplifying x = -0.3333333333 + 1.666666667y
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