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Simplifying 8x + -15x + -30x + -51 = 53 + 31x + -172 Reorder the terms: -51 + 8x + -15x + -30x = 53 + 31x + -172 Combine like terms: 8x + -15x = -7x -51 + -7x + -30x = 53 + 31x + -172 Combine like terms: -7x + -30x = -37x -51 + -37x = 53 + 31x + -172 Reorder the terms: -51 + -37x = 53 + -172 + 31x Combine like terms: 53 + -172 = -119 -51 + -37x = -119 + 31x Solving -51 + -37x = -119 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -51 + -37x + -31x = -119 + 31x + -31x Combine like terms: -37x + -31x = -68x -51 + -68x = -119 + 31x + -31x Combine like terms: 31x + -31x = 0 -51 + -68x = -119 + 0 -51 + -68x = -119 Add '51' to each side of the equation. -51 + 51 + -68x = -119 + 51 Combine like terms: -51 + 51 = 0 0 + -68x = -119 + 51 -68x = -119 + 51 Combine like terms: -119 + 51 = -68 -68x = -68 Divide each side by '-68'. x = 1 Simplifying x = 1
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