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Simplifying 2x + 8 + -1y + -1(-3) = 3y + 45 + -1x Multiply -1 * -3 2x + 8 + -1y + 3 = 3y + 45 + -1x Reorder the terms: 8 + 3 + 2x + -1y = 3y + 45 + -1x Combine like terms: 8 + 3 = 11 11 + 2x + -1y = 3y + 45 + -1x Reorder the terms: 11 + 2x + -1y = 45 + -1x + 3y Solving 11 + 2x + -1y = 45 + -1x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 11 + 2x + x + -1y = 45 + -1x + x + 3y Combine like terms: 2x + x = 3x 11 + 3x + -1y = 45 + -1x + x + 3y Combine like terms: -1x + x = 0 11 + 3x + -1y = 45 + 0 + 3y 11 + 3x + -1y = 45 + 3y Add '-11' to each side of the equation. 11 + 3x + -11 + -1y = 45 + -11 + 3y Reorder the terms: 11 + -11 + 3x + -1y = 45 + -11 + 3y Combine like terms: 11 + -11 = 0 0 + 3x + -1y = 45 + -11 + 3y 3x + -1y = 45 + -11 + 3y Combine like terms: 45 + -11 = 34 3x + -1y = 34 + 3y Add 'y' to each side of the equation. 3x + -1y + y = 34 + 3y + y Combine like terms: -1y + y = 0 3x + 0 = 34 + 3y + y 3x = 34 + 3y + y Combine like terms: 3y + y = 4y 3x = 34 + 4y Divide each side by '3'. x = 11.33333333 + 1.333333333y Simplifying x = 11.33333333 + 1.333333333y
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