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