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Simplifying x + 41 = 180 + -1(5y + -8) + -1(2x + -18) Reorder the terms: 41 + x = 180 + -1(5y + -8) + -1(2x + -18) Reorder the terms: 41 + x = 180 + -1(-8 + 5y) + -1(2x + -18) 41 + x = 180 + (-8 * -1 + 5y * -1) + -1(2x + -18) 41 + x = 180 + (8 + -5y) + -1(2x + -18) Reorder the terms: 41 + x = 180 + 8 + -5y + -1(-18 + 2x) 41 + x = 180 + 8 + -5y + (-18 * -1 + 2x * -1) 41 + x = 180 + 8 + -5y + (18 + -2x) Reorder the terms: 41 + x = 180 + 8 + 18 + -2x + -5y Combine like terms: 180 + 8 = 188 41 + x = 188 + 18 + -2x + -5y Combine like terms: 188 + 18 = 206 41 + x = 206 + -2x + -5y Solving 41 + x = 206 + -2x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 41 + x + 2x = 206 + -2x + 2x + -5y Combine like terms: x + 2x = 3x 41 + 3x = 206 + -2x + 2x + -5y Combine like terms: -2x + 2x = 0 41 + 3x = 206 + 0 + -5y 41 + 3x = 206 + -5y Add '-41' to each side of the equation. 41 + -41 + 3x = 206 + -41 + -5y Combine like terms: 41 + -41 = 0 0 + 3x = 206 + -41 + -5y 3x = 206 + -41 + -5y Combine like terms: 206 + -41 = 165 3x = 165 + -5y Divide each side by '3'. x = 55 + -1.666666667y Simplifying x = 55 + -1.666666667y
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