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Simplifying 10x + 5(x + 6y) = 5x + y 10x + (x * 5 + 6y * 5) = 5x + y 10x + (5x + 30y) = 5x + y Combine like terms: 10x + 5x = 15x 15x + 30y = 5x + y Solving 15x + 30y = 5x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15x + -5x + 30y = 5x + -5x + y Combine like terms: 15x + -5x = 10x 10x + 30y = 5x + -5x + y Combine like terms: 5x + -5x = 0 10x + 30y = 0 + y 10x + 30y = y Add '-30y' to each side of the equation. 10x + 30y + -30y = y + -30y Combine like terms: 30y + -30y = 0 10x + 0 = y + -30y 10x = y + -30y Combine like terms: y + -30y = -29y 10x = -29y Divide each side by '10'. x = -2.9y Simplifying x = -2.9y
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