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Simplifying 5y + 4x + 10 = 11x + 30 Reorder the terms: 10 + 4x + 5y = 11x + 30 Reorder the terms: 10 + 4x + 5y = 30 + 11x Solving 10 + 4x + 5y = 30 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 10 + 4x + -11x + 5y = 30 + 11x + -11x Combine like terms: 4x + -11x = -7x 10 + -7x + 5y = 30 + 11x + -11x Combine like terms: 11x + -11x = 0 10 + -7x + 5y = 30 + 0 10 + -7x + 5y = 30 Add '-10' to each side of the equation. 10 + -7x + -10 + 5y = 30 + -10 Reorder the terms: 10 + -10 + -7x + 5y = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -7x + 5y = 30 + -10 -7x + 5y = 30 + -10 Combine like terms: 30 + -10 = 20 -7x + 5y = 20 Add '-5y' to each side of the equation. -7x + 5y + -5y = 20 + -5y Combine like terms: 5y + -5y = 0 -7x + 0 = 20 + -5y -7x = 20 + -5y Divide each side by '-7'. x = -2.857142857 + 0.7142857143y Simplifying x = -2.857142857 + 0.7142857143y
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