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Simplifying -4(x + 5) + 2y = -22 Reorder the terms: -4(5 + x) + 2y = -22 (5 * -4 + x * -4) + 2y = -22 (-20 + -4x) + 2y = -22 Solving -20 + -4x + 2y = -22 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 + -4x + 20 + 2y = -22 + 20 Reorder the terms: -20 + 20 + -4x + 2y = -22 + 20 Combine like terms: -20 + 20 = 0 0 + -4x + 2y = -22 + 20 -4x + 2y = -22 + 20 Combine like terms: -22 + 20 = -2 -4x + 2y = -2 Add '-2y' to each side of the equation. -4x + 2y + -2y = -2 + -2y Combine like terms: 2y + -2y = 0 -4x + 0 = -2 + -2y -4x = -2 + -2y Divide each side by '-4'. x = 0.5 + 0.5y Simplifying x = 0.5 + 0.5y
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