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Simplifying (15x + 5y + 10) + (8y + 6x + -9) = 0 Reorder the terms: (10 + 15x + 5y) + (8y + 6x + -9) = 0 Remove parenthesis around (10 + 15x + 5y) 10 + 15x + 5y + (8y + 6x + -9) = 0 Reorder the terms: 10 + 15x + 5y + (-9 + 6x + 8y) = 0 Remove parenthesis around (-9 + 6x + 8y) 10 + 15x + 5y + -9 + 6x + 8y = 0 Reorder the terms: 10 + -9 + 15x + 6x + 5y + 8y = 0 Combine like terms: 10 + -9 = 1 1 + 15x + 6x + 5y + 8y = 0 Combine like terms: 15x + 6x = 21x 1 + 21x + 5y + 8y = 0 Combine like terms: 5y + 8y = 13y 1 + 21x + 13y = 0 Solving 1 + 21x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 21x + -1 + 13y = 0 + -1 Reorder the terms: 1 + -1 + 21x + 13y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 21x + 13y = 0 + -1 21x + 13y = 0 + -1 Combine like terms: 0 + -1 = -1 21x + 13y = -1 Add '-13y' to each side of the equation. 21x + 13y + -13y = -1 + -13y Combine like terms: 13y + -13y = 0 21x + 0 = -1 + -13y 21x = -1 + -13y Divide each side by '21'. x = -0.04761904762 + -0.619047619y Simplifying x = -0.04761904762 + -0.619047619y
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