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Simplifying 5(-1x + 6) + 3(2x + -1y) = 0 Reorder the terms: 5(6 + -1x) + 3(2x + -1y) = 0 (6 * 5 + -1x * 5) + 3(2x + -1y) = 0 (30 + -5x) + 3(2x + -1y) = 0 30 + -5x + (2x * 3 + -1y * 3) = 0 30 + -5x + (6x + -3y) = 0 Combine like terms: -5x + 6x = 1x 30 + 1x + -3y = 0 Solving 30 + 1x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 1x + -30 + -3y = 0 + -30 Reorder the terms: 30 + -30 + 1x + -3y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1x + -3y = 0 + -30 1x + -3y = 0 + -30 Combine like terms: 0 + -30 = -30 1x + -3y = -30 Add '3y' to each side of the equation. 1x + -3y + 3y = -30 + 3y Combine like terms: -3y + 3y = 0 1x + 0 = -30 + 3y 1x = -30 + 3y Divide each side by '1'. x = -30 + 3y Simplifying x = -30 + 3y
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