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Simplifying 15x + 6x + -4y + -5y + -14x + 10 = 0 Reorder the terms: 10 + 15x + 6x + -14x + -4y + -5y = 0 Combine like terms: 15x + 6x = 21x 10 + 21x + -14x + -4y + -5y = 0 Combine like terms: 21x + -14x = 7x 10 + 7x + -4y + -5y = 0 Combine like terms: -4y + -5y = -9y 10 + 7x + -9y = 0 Solving 10 + 7x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 7x + -10 + -9y = 0 + -10 Reorder the terms: 10 + -10 + 7x + -9y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7x + -9y = 0 + -10 7x + -9y = 0 + -10 Combine like terms: 0 + -10 = -10 7x + -9y = -10 Add '9y' to each side of the equation. 7x + -9y + 9y = -10 + 9y Combine like terms: -9y + 9y = 0 7x + 0 = -10 + 9y 7x = -10 + 9y Divide each side by '7'. x = -1.428571429 + 1.285714286y Simplifying x = -1.428571429 + 1.285714286y
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