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Simplifying 6(2x + -3y) + 10 = 0 (2x * 6 + -3y * 6) + 10 = 0 (12x + -18y) + 10 = 0 Reorder the terms: 10 + 12x + -18y = 0 Solving 10 + 12x + -18y = 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 + 12x + -10 + -18y = 0 + -10 Reorder the terms: 10 + -10 + 12x + -18y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 12x + -18y = 0 + -10 12x + -18y = 0 + -10 Combine like terms: 0 + -10 = -10 12x + -18y = -10 Add '18y' to each side of the equation. 12x + -18y + 18y = -10 + 18y Combine like terms: -18y + 18y = 0 12x + 0 = -10 + 18y 12x = -10 + 18y Divide each side by '12'. x = -0.8333333333 + 1.5y Simplifying x = -0.8333333333 + 1.5y
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