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Simplifying X + Y + X + Y + 80 + 90 = 100 Reorder the terms: 80 + 90 + X + X + Y + Y = 100 Combine like terms: 80 + 90 = 170 170 + X + X + Y + Y = 100 Combine like terms: X + X = 2X 170 + 2X + Y + Y = 100 Combine like terms: Y + Y = 2Y 170 + 2X + 2Y = 100 Solving 170 + 2X + 2Y = 100 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-170' to each side of the equation. 170 + 2X + -170 + 2Y = 100 + -170 Reorder the terms: 170 + -170 + 2X + 2Y = 100 + -170 Combine like terms: 170 + -170 = 0 0 + 2X + 2Y = 100 + -170 2X + 2Y = 100 + -170 Combine like terms: 100 + -170 = -70 2X + 2Y = -70 Add '-2Y' to each side of the equation. 2X + 2Y + -2Y = -70 + -2Y Combine like terms: 2Y + -2Y = 0 2X + 0 = -70 + -2Y 2X = -70 + -2Y Divide each side by '2'. X = -35 + -1Y Simplifying X = -35 + -1Y
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