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Simplifying 5x + 8y + -84 = 10x + 5y + -1c Reorder the terms: -84 + 5x + 8y = 10x + 5y + -1c Reorder the terms: -84 + 5x + 8y = -1c + 10x + 5y Solving -84 + 5x + 8y = -1c + 10x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -84 + 5x + -10x + 8y = -1c + 10x + -10x + 5y Combine like terms: 5x + -10x = -5x -84 + -5x + 8y = -1c + 10x + -10x + 5y Combine like terms: 10x + -10x = 0 -84 + -5x + 8y = -1c + 0 + 5y -84 + -5x + 8y = -1c + 5y Add '84' to each side of the equation. -84 + -5x + 84 + 8y = -1c + 84 + 5y Reorder the terms: -84 + 84 + -5x + 8y = -1c + 84 + 5y Combine like terms: -84 + 84 = 0 0 + -5x + 8y = -1c + 84 + 5y -5x + 8y = -1c + 84 + 5y Reorder the terms: -5x + 8y = 84 + -1c + 5y Add '-8y' to each side of the equation. -5x + 8y + -8y = 84 + -1c + 5y + -8y Combine like terms: 8y + -8y = 0 -5x + 0 = 84 + -1c + 5y + -8y -5x = 84 + -1c + 5y + -8y Combine like terms: 5y + -8y = -3y -5x = 84 + -1c + -3y Divide each side by '-5'. x = -16.8 + 0.2c + 0.6y Simplifying x = -16.8 + 0.2c + 0.6y
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