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Simplifying 3x + 5y + 6 = x + -1y + -10 Reorder the terms: 6 + 3x + 5y = x + -1y + -10 Reorder the terms: 6 + 3x + 5y = -10 + x + -1y Solving 6 + 3x + 5y = -10 + x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 3x + -1x + 5y = -10 + x + -1x + -1y Combine like terms: 3x + -1x = 2x 6 + 2x + 5y = -10 + x + -1x + -1y Combine like terms: x + -1x = 0 6 + 2x + 5y = -10 + 0 + -1y 6 + 2x + 5y = -10 + -1y Add '-6' to each side of the equation. 6 + 2x + -6 + 5y = -10 + -6 + -1y Reorder the terms: 6 + -6 + 2x + 5y = -10 + -6 + -1y Combine like terms: 6 + -6 = 0 0 + 2x + 5y = -10 + -6 + -1y 2x + 5y = -10 + -6 + -1y Combine like terms: -10 + -6 = -16 2x + 5y = -16 + -1y Add '-5y' to each side of the equation. 2x + 5y + -5y = -16 + -1y + -5y Combine like terms: 5y + -5y = 0 2x + 0 = -16 + -1y + -5y 2x = -16 + -1y + -5y Combine like terms: -1y + -5y = -6y 2x = -16 + -6y Divide each side by '2'. x = -8 + -3y Simplifying x = -8 + -3y
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