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Simplifying 3x + 4 = 5x + -2y + -11 Reorder the terms: 4 + 3x = 5x + -2y + -11 Reorder the terms: 4 + 3x = -11 + 5x + -2y Solving 4 + 3x = -11 + 5x + -2y 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. 4 + 3x + -5x = -11 + 5x + -5x + -2y Combine like terms: 3x + -5x = -2x 4 + -2x = -11 + 5x + -5x + -2y Combine like terms: 5x + -5x = 0 4 + -2x = -11 + 0 + -2y 4 + -2x = -11 + -2y Add '-4' to each side of the equation. 4 + -4 + -2x = -11 + -4 + -2y Combine like terms: 4 + -4 = 0 0 + -2x = -11 + -4 + -2y -2x = -11 + -4 + -2y Combine like terms: -11 + -4 = -15 -2x = -15 + -2y Divide each side by '-2'. x = 7.5 + y Simplifying x = 7.5 + y
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