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Simplifying 10y + 5x + -5y + -2x + 7 = 0 Reorder the terms: 7 + 5x + -2x + 10y + -5y = 0 Combine like terms: 5x + -2x = 3x 7 + 3x + 10y + -5y = 0 Combine like terms: 10y + -5y = 5y 7 + 3x + 5y = 0 Solving 7 + 3x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3x + -7 + 5y = 0 + -7 Reorder the terms: 7 + -7 + 3x + 5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x + 5y = 0 + -7 3x + 5y = 0 + -7 Combine like terms: 0 + -7 = -7 3x + 5y = -7 Add '-5y' to each side of the equation. 3x + 5y + -5y = -7 + -5y Combine like terms: 5y + -5y = 0 3x + 0 = -7 + -5y 3x = -7 + -5y Divide each side by '3'. x = -2.333333333 + -1.666666667y Simplifying x = -2.333333333 + -1.666666667y
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