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Simplifying 2x + 3y = 9x + -12 + -47 + 4x + -3y Reorder the terms: 2x + 3y = -12 + -47 + 9x + 4x + -3y Combine like terms: -12 + -47 = -59 2x + 3y = -59 + 9x + 4x + -3y Combine like terms: 9x + 4x = 13x 2x + 3y = -59 + 13x + -3y Solving 2x + 3y = -59 + 13x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 2x + -13x + 3y = -59 + 13x + -13x + -3y Combine like terms: 2x + -13x = -11x -11x + 3y = -59 + 13x + -13x + -3y Combine like terms: 13x + -13x = 0 -11x + 3y = -59 + 0 + -3y -11x + 3y = -59 + -3y Add '-3y' to each side of the equation. -11x + 3y + -3y = -59 + -3y + -3y Combine like terms: 3y + -3y = 0 -11x + 0 = -59 + -3y + -3y -11x = -59 + -3y + -3y Combine like terms: -3y + -3y = -6y -11x = -59 + -6y Divide each side by '-11'. x = 5.363636364 + 0.5454545455y Simplifying x = 5.363636364 + 0.5454545455y
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