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Simplifying (x + -4) * 2 + (y + -6) * 2 = 25 Reorder the terms: (-4 + x) * 2 + (y + -6) * 2 = 25 Reorder the terms for easier multiplication: 2(-4 + x) + (y + -6) * 2 = 25 (-4 * 2 + x * 2) + (y + -6) * 2 = 25 (-8 + 2x) + (y + -6) * 2 = 25 Reorder the terms: -8 + 2x + (-6 + y) * 2 = 25 Reorder the terms for easier multiplication: -8 + 2x + 2(-6 + y) = 25 -8 + 2x + (-6 * 2 + y * 2) = 25 -8 + 2x + (-12 + 2y) = 25 Reorder the terms: -8 + -12 + 2x + 2y = 25 Combine like terms: -8 + -12 = -20 -20 + 2x + 2y = 25 Solving -20 + 2x + 2y = 25 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 = 25 + 20 Reorder the terms: -20 + 20 + 2x + 2y = 25 + 20 Combine like terms: -20 + 20 = 0 0 + 2x + 2y = 25 + 20 2x + 2y = 25 + 20 Combine like terms: 25 + 20 = 45 2x + 2y = 45 Add '-2y' to each side of the equation. 2x + 2y + -2y = 45 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 45 + -2y 2x = 45 + -2y Divide each side by '2'. x = 22.5 + -1y Simplifying x = 22.5 + -1y
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