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Simplifying 6(3x + -5) = 6(5y + 20) Reorder the terms: 6(-5 + 3x) = 6(5y + 20) (-5 * 6 + 3x * 6) = 6(5y + 20) (-30 + 18x) = 6(5y + 20) Reorder the terms: -30 + 18x = 6(20 + 5y) -30 + 18x = (20 * 6 + 5y * 6) -30 + 18x = (120 + 30y) Solving -30 + 18x = 120 + 30y 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 + 30 + 18x = 120 + 30 + 30y Combine like terms: -30 + 30 = 0 0 + 18x = 120 + 30 + 30y 18x = 120 + 30 + 30y Combine like terms: 120 + 30 = 150 18x = 150 + 30y Divide each side by '18'. x = 8.333333333 + 1.666666667y Simplifying x = 8.333333333 + 1.666666667y
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