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Simplifying (x + 3) * 2 + (y + -4) * 2 = 9 Reorder the terms: (3 + x) * 2 + (y + -4) * 2 = 9 Reorder the terms for easier multiplication: 2(3 + x) + (y + -4) * 2 = 9 (3 * 2 + x * 2) + (y + -4) * 2 = 9 (6 + 2x) + (y + -4) * 2 = 9 Reorder the terms: 6 + 2x + (-4 + y) * 2 = 9 Reorder the terms for easier multiplication: 6 + 2x + 2(-4 + y) = 9 6 + 2x + (-4 * 2 + y * 2) = 9 6 + 2x + (-8 + 2y) = 9 Reorder the terms: 6 + -8 + 2x + 2y = 9 Combine like terms: 6 + -8 = -2 -2 + 2x + 2y = 9 Solving -2 + 2x + 2y = 9 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 = 9 + 2 Reorder the terms: -2 + 2 + 2x + 2y = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + 2y = 9 + 2 2x + 2y = 9 + 2 Combine like terms: 9 + 2 = 11 2x + 2y = 11 Add '-2y' to each side of the equation. 2x + 2y + -2y = 11 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 11 + -2y 2x = 11 + -2y Divide each side by '2'. x = 5.5 + -1y Simplifying x = 5.5 + -1y
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