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Simplifying 360 + -1y + 10 + 15 + x = 2(x + y + 45) Reorder the terms: 360 + 10 + 15 + x + -1y = 2(x + y + 45) Combine like terms: 360 + 10 = 370 370 + 15 + x + -1y = 2(x + y + 45) Combine like terms: 370 + 15 = 385 385 + x + -1y = 2(x + y + 45) Reorder the terms: 385 + x + -1y = 2(45 + x + y) 385 + x + -1y = (45 * 2 + x * 2 + y * 2) 385 + x + -1y = (90 + 2x + 2y) Solving 385 + x + -1y = 90 + 2x + 2y 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. 385 + x + -2x + -1y = 90 + 2x + -2x + 2y Combine like terms: x + -2x = -1x 385 + -1x + -1y = 90 + 2x + -2x + 2y Combine like terms: 2x + -2x = 0 385 + -1x + -1y = 90 + 0 + 2y 385 + -1x + -1y = 90 + 2y Add '-385' to each side of the equation. 385 + -1x + -385 + -1y = 90 + -385 + 2y Reorder the terms: 385 + -385 + -1x + -1y = 90 + -385 + 2y Combine like terms: 385 + -385 = 0 0 + -1x + -1y = 90 + -385 + 2y -1x + -1y = 90 + -385 + 2y Combine like terms: 90 + -385 = -295 -1x + -1y = -295 + 2y Add 'y' to each side of the equation. -1x + -1y + y = -295 + 2y + y Combine like terms: -1y + y = 0 -1x + 0 = -295 + 2y + y -1x = -295 + 2y + y Combine like terms: 2y + y = 3y -1x = -295 + 3y Divide each side by '-1'. x = 295 + -3y Simplifying x = 295 + -3y
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