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Simplifying 360 = (8y + -102) + (3x) + (3x) + (2y + 6) Reorder the terms: 360 = (-102 + 8y) + (3x) + (3x) + (2y + 6) Remove parenthesis around (-102 + 8y) 360 = -102 + 8y + (3x) + (3x) + (2y + 6) Reorder the terms: 360 = -102 + 8y + (3x) + (3x) + (6 + 2y) Remove parenthesis around (6 + 2y) 360 = -102 + 8y + (3x) + (3x) + 6 + 2y Reorder the terms: 360 = -102 + 6 + (3x) + (3x) + 8y + 2y Combine like terms: -102 + 6 = -96 360 = -96 + (3x) + (3x) + 8y + 2y Combine like terms: (3x) + (3x) = 6x 360 = -96 + 6x + 8y + 2y Combine like terms: 8y + 2y = 10y 360 = -96 + 6x + 10y Solving 360 = -96 + 6x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 360 + -6x = -96 + 6x + -6x + 10y Combine like terms: 6x + -6x = 0 360 + -6x = -96 + 0 + 10y 360 + -6x = -96 + 10y Add '-360' to each side of the equation. 360 + -360 + -6x = -96 + -360 + 10y Combine like terms: 360 + -360 = 0 0 + -6x = -96 + -360 + 10y -6x = -96 + -360 + 10y Combine like terms: -96 + -360 = -456 -6x = -456 + 10y Divide each side by '-6'. x = 76 + -1.666666667y Simplifying x = 76 + -1.666666667y
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