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Simplifying 10x + 15y + 12 + 8x + -13y + -4 = 0 Reorder the terms: 12 + -4 + 10x + 8x + 15y + -13y = 0 Combine like terms: 12 + -4 = 8 8 + 10x + 8x + 15y + -13y = 0 Combine like terms: 10x + 8x = 18x 8 + 18x + 15y + -13y = 0 Combine like terms: 15y + -13y = 2y 8 + 18x + 2y = 0 Solving 8 + 18x + 2y = 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 + 18x + -8 + 2y = 0 + -8 Reorder the terms: 8 + -8 + 18x + 2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 18x + 2y = 0 + -8 18x + 2y = 0 + -8 Combine like terms: 0 + -8 = -8 18x + 2y = -8 Add '-2y' to each side of the equation. 18x + 2y + -2y = -8 + -2y Combine like terms: 2y + -2y = 0 18x + 0 = -8 + -2y 18x = -8 + -2y Divide each side by '18'. x = -0.4444444444 + -0.1111111111y Simplifying x = -0.4444444444 + -0.1111111111y
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