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Simplifying 12x + -8 + 3x + -5 = 11x + -2 + 3y Reorder the terms: -8 + -5 + 12x + 3x = 11x + -2 + 3y Combine like terms: -8 + -5 = -13 -13 + 12x + 3x = 11x + -2 + 3y Combine like terms: 12x + 3x = 15x -13 + 15x = 11x + -2 + 3y Reorder the terms: -13 + 15x = -2 + 11x + 3y Solving -13 + 15x = -2 + 11x + 3y 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. -13 + 15x + -11x = -2 + 11x + -11x + 3y Combine like terms: 15x + -11x = 4x -13 + 4x = -2 + 11x + -11x + 3y Combine like terms: 11x + -11x = 0 -13 + 4x = -2 + 0 + 3y -13 + 4x = -2 + 3y Add '13' to each side of the equation. -13 + 13 + 4x = -2 + 13 + 3y Combine like terms: -13 + 13 = 0 0 + 4x = -2 + 13 + 3y 4x = -2 + 13 + 3y Combine like terms: -2 + 13 = 11 4x = 11 + 3y Divide each side by '4'. x = 2.75 + 0.75y Simplifying x = 2.75 + 0.75y
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