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Simplifying (6Y + 20) + (8X + -10) = 7X Reorder the terms: (20 + 6Y) + (8X + -10) = 7X Remove parenthesis around (20 + 6Y) 20 + 6Y + (8X + -10) = 7X Reorder the terms: 20 + 6Y + (-10 + 8X) = 7X Remove parenthesis around (-10 + 8X) 20 + 6Y + -10 + 8X = 7X Reorder the terms: 20 + -10 + 8X + 6Y = 7X Combine like terms: 20 + -10 = 10 10 + 8X + 6Y = 7X Solving 10 + 8X + 6Y = 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 10 + 8X + -7X + 6Y = 7X + -7X Combine like terms: 8X + -7X = 1X 10 + 1X + 6Y = 7X + -7X Combine like terms: 7X + -7X = 0 10 + 1X + 6Y = 0 Add '-10' to each side of the equation. 10 + 1X + -10 + 6Y = 0 + -10 Reorder the terms: 10 + -10 + 1X + 6Y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1X + 6Y = 0 + -10 1X + 6Y = 0 + -10 Combine like terms: 0 + -10 = -10 1X + 6Y = -10 Add '-6Y' to each side of the equation. 1X + 6Y + -6Y = -10 + -6Y Combine like terms: 6Y + -6Y = 0 1X + 0 = -10 + -6Y 1X = -10 + -6Y Divide each side by '1'. X = -10 + -6Y Simplifying X = -10 + -6Y
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