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Simplifying (-2 + 10) + -1(-6x + 5y + 12) + (x + 8y + -16) = 0 Combine like terms: -2 + 10 = 8 (8) + -1(-6x + 5y + 12) + (x + 8y + -16) = 0 8 + -1(-6x + 5y + 12) + (x + 8y + -16) = 0 Reorder the terms: 8 + -1(12 + -6x + 5y) + (x + 8y + -16) = 0 8 + (12 * -1 + -6x * -1 + 5y * -1) + (x + 8y + -16) = 0 8 + (-12 + 6x + -5y) + (x + 8y + -16) = 0 Reorder the terms: 8 + -12 + 6x + -5y + (-16 + x + 8y) = 0 Remove parenthesis around (-16 + x + 8y) 8 + -12 + 6x + -5y + -16 + x + 8y = 0 Reorder the terms: 8 + -12 + -16 + 6x + x + -5y + 8y = 0 Combine like terms: 8 + -12 = -4 -4 + -16 + 6x + x + -5y + 8y = 0 Combine like terms: -4 + -16 = -20 -20 + 6x + x + -5y + 8y = 0 Combine like terms: 6x + x = 7x -20 + 7x + -5y + 8y = 0 Combine like terms: -5y + 8y = 3y -20 + 7x + 3y = 0 Solving -20 + 7x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 7x + 20 + 3y = 0 + 20 Reorder the terms: -20 + 20 + 7x + 3y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 7x + 3y = 0 + 20 7x + 3y = 0 + 20 Combine like terms: 0 + 20 = 20 7x + 3y = 20 Add '-3y' to each side of the equation. 7x + 3y + -3y = 20 + -3y Combine like terms: 3y + -3y = 0 7x + 0 = 20 + -3y 7x = 20 + -3y Divide each side by '7'. x = 2.857142857 + -0.4285714286y Simplifying x = 2.857142857 + -0.4285714286y
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