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Simplifying 2(y + -3) + 2(x + 4) = 24 Reorder the terms: 2(-3 + y) + 2(x + 4) = 24 (-3 * 2 + y * 2) + 2(x + 4) = 24 (-6 + 2y) + 2(x + 4) = 24 Reorder the terms: -6 + 2y + 2(4 + x) = 24 -6 + 2y + (4 * 2 + x * 2) = 24 -6 + 2y + (8 + 2x) = 24 Reorder the terms: -6 + 8 + 2x + 2y = 24 Combine like terms: -6 + 8 = 2 2 + 2x + 2y = 24 Solving 2 + 2x + 2y = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + -2 + 2y = 24 + -2 Reorder the terms: 2 + -2 + 2x + 2y = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 2y = 24 + -2 2x + 2y = 24 + -2 Combine like terms: 24 + -2 = 22 2x + 2y = 22 Add '-2y' to each side of the equation. 2x + 2y + -2y = 22 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 22 + -2y 2x = 22 + -2y Divide each side by '2'. x = 11 + -1y Simplifying x = 11 + -1y
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