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Simplifying 2x + 5y + 2 = 5x + -10y + -8 Reorder the terms: 2 + 2x + 5y = 5x + -10y + -8 Reorder the terms: 2 + 2x + 5y = -8 + 5x + -10y Solving 2 + 2x + 5y = -8 + 5x + -10y 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. 2 + 2x + -5x + 5y = -8 + 5x + -5x + -10y Combine like terms: 2x + -5x = -3x 2 + -3x + 5y = -8 + 5x + -5x + -10y Combine like terms: 5x + -5x = 0 2 + -3x + 5y = -8 + 0 + -10y 2 + -3x + 5y = -8 + -10y Add '-2' to each side of the equation. 2 + -3x + -2 + 5y = -8 + -2 + -10y Reorder the terms: 2 + -2 + -3x + 5y = -8 + -2 + -10y Combine like terms: 2 + -2 = 0 0 + -3x + 5y = -8 + -2 + -10y -3x + 5y = -8 + -2 + -10y Combine like terms: -8 + -2 = -10 -3x + 5y = -10 + -10y Add '-5y' to each side of the equation. -3x + 5y + -5y = -10 + -10y + -5y Combine like terms: 5y + -5y = 0 -3x + 0 = -10 + -10y + -5y -3x = -10 + -10y + -5y Combine like terms: -10y + -5y = -15y -3x = -10 + -15y Divide each side by '-3'. x = 3.333333333 + 5y Simplifying x = 3.333333333 + 5y
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