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Simplifying 2x + y + -8 = 5x + -3y + -15 Reorder the terms: -8 + 2x + y = 5x + -3y + -15 Reorder the terms: -8 + 2x + y = -15 + 5x + -3y Solving -8 + 2x + y = -15 + 5x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 2x + -5x + y = -15 + 5x + -5x + -3y Combine like terms: 2x + -5x = -3x -8 + -3x + y = -15 + 5x + -5x + -3y Combine like terms: 5x + -5x = 0 -8 + -3x + y = -15 + 0 + -3y -8 + -3x + y = -15 + -3y Add '8' to each side of the equation. -8 + -3x + 8 + y = -15 + 8 + -3y Reorder the terms: -8 + 8 + -3x + y = -15 + 8 + -3y Combine like terms: -8 + 8 = 0 0 + -3x + y = -15 + 8 + -3y -3x + y = -15 + 8 + -3y Combine like terms: -15 + 8 = -7 -3x + y = -7 + -3y Add '-1y' to each side of the equation. -3x + y + -1y = -7 + -3y + -1y Combine like terms: y + -1y = 0 -3x + 0 = -7 + -3y + -1y -3x = -7 + -3y + -1y Combine like terms: -3y + -1y = -4y -3x = -7 + -4y Divide each side by '-3'. x = 2.333333333 + 1.333333333y Simplifying x = 2.333333333 + 1.333333333y
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