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Simplifying 3x + 5y + 11 = 4(5x + -2y) Reorder the terms: 11 + 3x + 5y = 4(5x + -2y) 11 + 3x + 5y = (5x * 4 + -2y * 4) 11 + 3x + 5y = (20x + -8y) Solving 11 + 3x + 5y = 20x + -8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 11 + 3x + -20x + 5y = 20x + -20x + -8y Combine like terms: 3x + -20x = -17x 11 + -17x + 5y = 20x + -20x + -8y Combine like terms: 20x + -20x = 0 11 + -17x + 5y = 0 + -8y 11 + -17x + 5y = -8y Add '-11' to each side of the equation. 11 + -17x + -11 + 5y = -11 + -8y Reorder the terms: 11 + -11 + -17x + 5y = -11 + -8y Combine like terms: 11 + -11 = 0 0 + -17x + 5y = -11 + -8y -17x + 5y = -11 + -8y Add '-5y' to each side of the equation. -17x + 5y + -5y = -11 + -8y + -5y Combine like terms: 5y + -5y = 0 -17x + 0 = -11 + -8y + -5y -17x = -11 + -8y + -5y Combine like terms: -8y + -5y = -13y -17x = -11 + -13y Divide each side by '-17'. x = 0.6470588235 + 0.7647058824y Simplifying x = 0.6470588235 + 0.7647058824y
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