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Simplifying 3x + -4y + 5 = 2x + -5y + -6 Reorder the terms: 5 + 3x + -4y = 2x + -5y + -6 Reorder the terms: 5 + 3x + -4y = -6 + 2x + -5y Solving 5 + 3x + -4y = -6 + 2x + -5y 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. 5 + 3x + -2x + -4y = -6 + 2x + -2x + -5y Combine like terms: 3x + -2x = 1x 5 + 1x + -4y = -6 + 2x + -2x + -5y Combine like terms: 2x + -2x = 0 5 + 1x + -4y = -6 + 0 + -5y 5 + 1x + -4y = -6 + -5y Add '-5' to each side of the equation. 5 + 1x + -5 + -4y = -6 + -5 + -5y Reorder the terms: 5 + -5 + 1x + -4y = -6 + -5 + -5y Combine like terms: 5 + -5 = 0 0 + 1x + -4y = -6 + -5 + -5y 1x + -4y = -6 + -5 + -5y Combine like terms: -6 + -5 = -11 1x + -4y = -11 + -5y Add '4y' to each side of the equation. 1x + -4y + 4y = -11 + -5y + 4y Combine like terms: -4y + 4y = 0 1x + 0 = -11 + -5y + 4y 1x = -11 + -5y + 4y Combine like terms: -5y + 4y = -1y 1x = -11 + -1y Divide each side by '1'. x = -11 + -1y Simplifying x = -11 + -1y
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