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Simplifying (x + 4) * 2 + (y + -7) * 2 = 25 Reorder the terms: (4 + x) * 2 + (y + -7) * 2 = 25 Reorder the terms for easier multiplication: 2(4 + x) + (y + -7) * 2 = 25 (4 * 2 + x * 2) + (y + -7) * 2 = 25 (8 + 2x) + (y + -7) * 2 = 25 Reorder the terms: 8 + 2x + (-7 + y) * 2 = 25 Reorder the terms for easier multiplication: 8 + 2x + 2(-7 + y) = 25 8 + 2x + (-7 * 2 + y * 2) = 25 8 + 2x + (-14 + 2y) = 25 Reorder the terms: 8 + -14 + 2x + 2y = 25 Combine like terms: 8 + -14 = -6 -6 + 2x + 2y = 25 Solving -6 + 2x + 2y = 25 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 = 25 + 6 Reorder the terms: -6 + 6 + 2x + 2y = 25 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 2y = 25 + 6 2x + 2y = 25 + 6 Combine like terms: 25 + 6 = 31 2x + 2y = 31 Add '-2y' to each side of the equation. 2x + 2y + -2y = 31 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 31 + -2y 2x = 31 + -2y Divide each side by '2'. x = 15.5 + -1y Simplifying x = 15.5 + -1y
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