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Simplifying 4x + -5y + 3 = 2x + -2y + -3 Reorder the terms: 3 + 4x + -5y = 2x + -2y + -3 Reorder the terms: 3 + 4x + -5y = -3 + 2x + -2y Solving 3 + 4x + -5y = -3 + 2x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 4x + -2x + -5y = -3 + 2x + -2x + -2y Combine like terms: 4x + -2x = 2x 3 + 2x + -5y = -3 + 2x + -2x + -2y Combine like terms: 2x + -2x = 0 3 + 2x + -5y = -3 + 0 + -2y 3 + 2x + -5y = -3 + -2y Add '-3' to each side of the equation. 3 + 2x + -3 + -5y = -3 + -3 + -2y Reorder the terms: 3 + -3 + 2x + -5y = -3 + -3 + -2y Combine like terms: 3 + -3 = 0 0 + 2x + -5y = -3 + -3 + -2y 2x + -5y = -3 + -3 + -2y Combine like terms: -3 + -3 = -6 2x + -5y = -6 + -2y Add '5y' to each side of the equation. 2x + -5y + 5y = -6 + -2y + 5y Combine like terms: -5y + 5y = 0 2x + 0 = -6 + -2y + 5y 2x = -6 + -2y + 5y Combine like terms: -2y + 5y = 3y 2x = -6 + 3y Divide each side by '2'. x = -3 + 1.5y Simplifying x = -3 + 1.5y
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