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Simplifying 37x + 36 = 100x + -27 Reorder the terms: 36 + 37x = 100x + -27 Reorder the terms: 36 + 37x = -27 + 100x Solving 36 + 37x = -27 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 36 + 37x + -100x = -27 + 100x + -100x Combine like terms: 37x + -100x = -63x 36 + -63x = -27 + 100x + -100x Combine like terms: 100x + -100x = 0 36 + -63x = -27 + 0 36 + -63x = -27 Add '-36' to each side of the equation. 36 + -36 + -63x = -27 + -36 Combine like terms: 36 + -36 = 0 0 + -63x = -27 + -36 -63x = -27 + -36 Combine like terms: -27 + -36 = -63 -63x = -63 Divide each side by '-63'. x = 1 Simplifying x = 1
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