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Simplifying (x + -3) * 2 + (y + -7) * 2 = 64 Reorder the terms: (-3 + x) * 2 + (y + -7) * 2 = 64 Reorder the terms for easier multiplication: 2(-3 + x) + (y + -7) * 2 = 64 (-3 * 2 + x * 2) + (y + -7) * 2 = 64 (-6 + 2x) + (y + -7) * 2 = 64 Reorder the terms: -6 + 2x + (-7 + y) * 2 = 64 Reorder the terms for easier multiplication: -6 + 2x + 2(-7 + y) = 64 -6 + 2x + (-7 * 2 + y * 2) = 64 -6 + 2x + (-14 + 2y) = 64 Reorder the terms: -6 + -14 + 2x + 2y = 64 Combine like terms: -6 + -14 = -20 -20 + 2x + 2y = 64 Solving -20 + 2x + 2y = 64 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 + 2x + 20 + 2y = 64 + 20 Reorder the terms: -20 + 20 + 2x + 2y = 64 + 20 Combine like terms: -20 + 20 = 0 0 + 2x + 2y = 64 + 20 2x + 2y = 64 + 20 Combine like terms: 64 + 20 = 84 2x + 2y = 84 Add '-2y' to each side of the equation. 2x + 2y + -2y = 84 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 84 + -2y 2x = 84 + -2y Divide each side by '2'. x = 42 + -1y Simplifying x = 42 + -1y
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