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Simplifying 6(2x + -5y + -6) + 2(3x + -2) = 0 Reorder the terms: 6(-6 + 2x + -5y) + 2(3x + -2) = 0 (-6 * 6 + 2x * 6 + -5y * 6) + 2(3x + -2) = 0 (-36 + 12x + -30y) + 2(3x + -2) = 0 Reorder the terms: -36 + 12x + -30y + 2(-2 + 3x) = 0 -36 + 12x + -30y + (-2 * 2 + 3x * 2) = 0 -36 + 12x + -30y + (-4 + 6x) = 0 Reorder the terms: -36 + -4 + 12x + 6x + -30y = 0 Combine like terms: -36 + -4 = -40 -40 + 12x + 6x + -30y = 0 Combine like terms: 12x + 6x = 18x -40 + 18x + -30y = 0 Solving -40 + 18x + -30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 18x + 40 + -30y = 0 + 40 Reorder the terms: -40 + 40 + 18x + -30y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 18x + -30y = 0 + 40 18x + -30y = 0 + 40 Combine like terms: 0 + 40 = 40 18x + -30y = 40 Add '30y' to each side of the equation. 18x + -30y + 30y = 40 + 30y Combine like terms: -30y + 30y = 0 18x + 0 = 40 + 30y 18x = 40 + 30y Divide each side by '18'. x = 2.222222222 + 1.666666667y Simplifying x = 2.222222222 + 1.666666667y
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