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Simplifying 2x + 3y + 3 = 4x + -5y + 2 Reorder the terms: 3 + 2x + 3y = 4x + -5y + 2 Reorder the terms: 3 + 2x + 3y = 2 + 4x + -5y Solving 3 + 2x + 3y = 2 + 4x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 2x + -4x + 3y = 2 + 4x + -4x + -5y Combine like terms: 2x + -4x = -2x 3 + -2x + 3y = 2 + 4x + -4x + -5y Combine like terms: 4x + -4x = 0 3 + -2x + 3y = 2 + 0 + -5y 3 + -2x + 3y = 2 + -5y Add '-3' to each side of the equation. 3 + -2x + -3 + 3y = 2 + -3 + -5y Reorder the terms: 3 + -3 + -2x + 3y = 2 + -3 + -5y Combine like terms: 3 + -3 = 0 0 + -2x + 3y = 2 + -3 + -5y -2x + 3y = 2 + -3 + -5y Combine like terms: 2 + -3 = -1 -2x + 3y = -1 + -5y Add '-3y' to each side of the equation. -2x + 3y + -3y = -1 + -5y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = -1 + -5y + -3y -2x = -1 + -5y + -3y Combine like terms: -5y + -3y = -8y -2x = -1 + -8y Divide each side by '-2'. x = 0.5 + 4y Simplifying x = 0.5 + 4y
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