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Simplifying (x + -10) * 2 + (y + -10) * 2 = 100 Reorder the terms: (-10 + x) * 2 + (y + -10) * 2 = 100 Reorder the terms for easier multiplication: 2(-10 + x) + (y + -10) * 2 = 100 (-10 * 2 + x * 2) + (y + -10) * 2 = 100 (-20 + 2x) + (y + -10) * 2 = 100 Reorder the terms: -20 + 2x + (-10 + y) * 2 = 100 Reorder the terms for easier multiplication: -20 + 2x + 2(-10 + y) = 100 -20 + 2x + (-10 * 2 + y * 2) = 100 -20 + 2x + (-20 + 2y) = 100 Reorder the terms: -20 + -20 + 2x + 2y = 100 Combine like terms: -20 + -20 = -40 -40 + 2x + 2y = 100 Solving -40 + 2x + 2y = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 2x + 40 + 2y = 100 + 40 Reorder the terms: -40 + 40 + 2x + 2y = 100 + 40 Combine like terms: -40 + 40 = 0 0 + 2x + 2y = 100 + 40 2x + 2y = 100 + 40 Combine like terms: 100 + 40 = 140 2x + 2y = 140 Add '-2y' to each side of the equation. 2x + 2y + -2y = 140 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 140 + -2y 2x = 140 + -2y Divide each side by '2'. x = 70 + -1y Simplifying x = 70 + -1y
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