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Simplifying 6(x + -3y) + -2(2x + -5) = 0 (x * 6 + -3y * 6) + -2(2x + -5) = 0 (6x + -18y) + -2(2x + -5) = 0 Reorder the terms: 6x + -18y + -2(-5 + 2x) = 0 6x + -18y + (-5 * -2 + 2x * -2) = 0 6x + -18y + (10 + -4x) = 0 Reorder the terms: 10 + 6x + -4x + -18y = 0 Combine like terms: 6x + -4x = 2x 10 + 2x + -18y = 0 Solving 10 + 2x + -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 + 2x + -10 + -18y = 0 + -10 Reorder the terms: 10 + -10 + 2x + -18y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x + -18y = 0 + -10 2x + -18y = 0 + -10 Combine like terms: 0 + -10 = -10 2x + -18y = -10 Add '18y' to each side of the equation. 2x + -18y + 18y = -10 + 18y Combine like terms: -18y + 18y = 0 2x + 0 = -10 + 18y 2x = -10 + 18y Divide each side by '2'. x = -5 + 9y Simplifying x = -5 + 9y
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