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Simplifying (x + 3) * 2 + (y + -6) * 2 = 24 Reorder the terms: (3 + x) * 2 + (y + -6) * 2 = 24 Reorder the terms for easier multiplication: 2(3 + x) + (y + -6) * 2 = 24 (3 * 2 + x * 2) + (y + -6) * 2 = 24 (6 + 2x) + (y + -6) * 2 = 24 Reorder the terms: 6 + 2x + (-6 + y) * 2 = 24 Reorder the terms for easier multiplication: 6 + 2x + 2(-6 + y) = 24 6 + 2x + (-6 * 2 + y * 2) = 24 6 + 2x + (-12 + 2y) = 24 Reorder the terms: 6 + -12 + 2x + 2y = 24 Combine like terms: 6 + -12 = -6 -6 + 2x + 2y = 24 Solving -6 + 2x + 2y = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 6 + 2y = 24 + 6 Reorder the terms: -6 + 6 + 2x + 2y = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 2y = 24 + 6 2x + 2y = 24 + 6 Combine like terms: 24 + 6 = 30 2x + 2y = 30 Add '-2y' to each side of the equation. 2x + 2y + -2y = 30 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 30 + -2y 2x = 30 + -2y Divide each side by '2'. x = 15 + -1y Simplifying x = 15 + -1y
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