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Simplifying 36x + -78 + 61x + -69 + -78 + 22x + -47x = 369 + -44x + 45 + -12x + 89 + 120x Reorder the terms: -78 + -69 + -78 + 36x + 61x + 22x + -47x = 369 + -44x + 45 + -12x + 89 + 120x Combine like terms: -78 + -69 = -147 -147 + -78 + 36x + 61x + 22x + -47x = 369 + -44x + 45 + -12x + 89 + 120x Combine like terms: -147 + -78 = -225 -225 + 36x + 61x + 22x + -47x = 369 + -44x + 45 + -12x + 89 + 120x Combine like terms: 36x + 61x = 97x -225 + 97x + 22x + -47x = 369 + -44x + 45 + -12x + 89 + 120x Combine like terms: 97x + 22x = 119x -225 + 119x + -47x = 369 + -44x + 45 + -12x + 89 + 120x Combine like terms: 119x + -47x = 72x -225 + 72x = 369 + -44x + 45 + -12x + 89 + 120x Reorder the terms: -225 + 72x = 369 + 45 + 89 + -44x + -12x + 120x Combine like terms: 369 + 45 = 414 -225 + 72x = 414 + 89 + -44x + -12x + 120x Combine like terms: 414 + 89 = 503 -225 + 72x = 503 + -44x + -12x + 120x Combine like terms: -44x + -12x = -56x -225 + 72x = 503 + -56x + 120x Combine like terms: -56x + 120x = 64x -225 + 72x = 503 + 64x Solving -225 + 72x = 503 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -225 + 72x + -64x = 503 + 64x + -64x Combine like terms: 72x + -64x = 8x -225 + 8x = 503 + 64x + -64x Combine like terms: 64x + -64x = 0 -225 + 8x = 503 + 0 -225 + 8x = 503 Add '225' to each side of the equation. -225 + 225 + 8x = 503 + 225 Combine like terms: -225 + 225 = 0 0 + 8x = 503 + 225 8x = 503 + 225 Combine like terms: 503 + 225 = 728 8x = 728 Divide each side by '8'. x = 91 Simplifying x = 91
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