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Simplifying 10x + -4y + -6y + 5x + 8 = 0 Reorder the terms: 8 + 10x + 5x + -4y + -6y = 0 Combine like terms: 10x + 5x = 15x 8 + 15x + -4y + -6y = 0 Combine like terms: -4y + -6y = -10y 8 + 15x + -10y = 0 Solving 8 + 15x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 15x + -8 + -10y = 0 + -8 Reorder the terms: 8 + -8 + 15x + -10y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 15x + -10y = 0 + -8 15x + -10y = 0 + -8 Combine like terms: 0 + -8 = -8 15x + -10y = -8 Add '10y' to each side of the equation. 15x + -10y + 10y = -8 + 10y Combine like terms: -10y + 10y = 0 15x + 0 = -8 + 10y 15x = -8 + 10y Divide each side by '15'. x = -0.5333333333 + 0.6666666667y Simplifying x = -0.5333333333 + 0.6666666667y
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