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Simplifying 3x + 10y + 8 = 2y + -2x Reorder the terms: 8 + 3x + 10y = 2y + -2x Reorder the terms: 8 + 3x + 10y = -2x + 2y Solving 8 + 3x + 10y = -2x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 3x + 2x + 10y = -2x + 2x + 2y Combine like terms: 3x + 2x = 5x 8 + 5x + 10y = -2x + 2x + 2y Combine like terms: -2x + 2x = 0 8 + 5x + 10y = 0 + 2y 8 + 5x + 10y = 2y Add '-8' to each side of the equation. 8 + 5x + -8 + 10y = -8 + 2y Reorder the terms: 8 + -8 + 5x + 10y = -8 + 2y Combine like terms: 8 + -8 = 0 0 + 5x + 10y = -8 + 2y 5x + 10y = -8 + 2y Add '-10y' to each side of the equation. 5x + 10y + -10y = -8 + 2y + -10y Combine like terms: 10y + -10y = 0 5x + 0 = -8 + 2y + -10y 5x = -8 + 2y + -10y Combine like terms: 2y + -10y = -8y 5x = -8 + -8y Divide each side by '5'. x = -1.6 + -1.6y Simplifying x = -1.6 + -1.6y
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