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Simplifying -0.5(12x + -6y + 22) + 8 = 0 Reorder the terms: -0.5(22 + 12x + -6y) + 8 = 0 (22 * -0.5 + 12x * -0.5 + -6y * -0.5) + 8 = 0 (-11 + -6x + 3y) + 8 = 0 Reorder the terms: -11 + 8 + -6x + 3y = 0 Combine like terms: -11 + 8 = -3 -3 + -6x + 3y = 0 Solving -3 + -6x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -6x + 3 + 3y = 0 + 3 Reorder the terms: -3 + 3 + -6x + 3y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6x + 3y = 0 + 3 -6x + 3y = 0 + 3 Combine like terms: 0 + 3 = 3 -6x + 3y = 3 Add '-3y' to each side of the equation. -6x + 3y + -3y = 3 + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = 3 + -3y -6x = 3 + -3y Divide each side by '-6'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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