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Simplifying 4x + 5y + 11 = -12 + 2x Reorder the terms: 11 + 4x + 5y = -12 + 2x Solving 11 + 4x + 5y = -12 + 2x 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. 11 + 4x + -2x + 5y = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x 11 + 2x + 5y = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 2x + 5y = -12 + 0 11 + 2x + 5y = -12 Add '-11' to each side of the equation. 11 + 2x + -11 + 5y = -12 + -11 Reorder the terms: 11 + -11 + 2x + 5y = -12 + -11 Combine like terms: 11 + -11 = 0 0 + 2x + 5y = -12 + -11 2x + 5y = -12 + -11 Combine like terms: -12 + -11 = -23 2x + 5y = -23 Add '-5y' to each side of the equation. 2x + 5y + -5y = -23 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = -23 + -5y 2x = -23 + -5y Divide each side by '2'. x = -11.5 + -2.5y Simplifying x = -11.5 + -2.5y
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