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Simplifying -15 + -2x = 16 + -1(3x + -1y) -15 + -2x = 16 + (3x * -1 + -1y * -1) -15 + -2x = 16 + (-3x + 1y) Solving -15 + -2x = 16 + -3x + 1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + -2x + 3x = 16 + -3x + 3x + 1y Combine like terms: -2x + 3x = 1x -15 + 1x = 16 + -3x + 3x + 1y Combine like terms: -3x + 3x = 0 -15 + 1x = 16 + 0 + 1y -15 + 1x = 16 + 1y Add '15' to each side of the equation. -15 + 15 + 1x = 16 + 15 + 1y Combine like terms: -15 + 15 = 0 0 + 1x = 16 + 15 + 1y 1x = 16 + 15 + 1y Combine like terms: 16 + 15 = 31 1x = 31 + 1y Divide each side by '1'. x = 31 + 1y Simplifying x = 31 + 1y
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